Perimeter and Area

A rectangle has a length of $15 \text{ cm}$ and a breadth of $10 \text{ cm}$. If the length is doubled and breadth is halved, what is the new area?

Find the area of a square whose perimeter is $20 \text{ cm}$.

Which figure has a larger area: a square of side $6 \text{ cm}$ or a rectangle of $7 \text{ cm} \times 5 \text{ cm}$?

The perimeter of a rectangular garden is $100 \text{ m}$. If the length is $30 \text{ m}$, find the breadth.

A photograph of size $30 \text{ cm} \times 20 \text{ cm}$ is framed with a border $5 \text{ cm}$ wide all around. Find the area of the frame.

The area of a rectangle is $240 \text{ cm}^2$. If the ratio of its length to breadth is $5:3$, find its perimeter.

Two squares of side $4 \text{ cm}$ are joined together to form a rectangle. Find the perimeter of the resulting rectangle.

Through a rectangular field of length $90\text{ m}$ and breadth $60\text{ m}$, two roads are constructed which are parallel to the sides and cut each other at right angles through the center of the fields. If the width of each road is $3\text{ m}$, find the cost of constructing the roads at the rate of Rs 110 per $\text{m}^2$.

The area of a rectangular field is $440\text{ m}^2$ and its length is $22\text{ m}$. Find its perimeter.

A wire is in the shape of a rectangle. Its length is $40\text{ cm}$ and breadth is $22\text{ cm}$. If the same wire is rebent in the shape of a square, what will be the measure of each side?

If the base of a parallelogram is $10 \text{ m}$ and height is $7.5 \text{ m}$, what is its area?

Calculate the area of a parallelogram with a height of $12 \text{ cm}$ and a base of $3 \text{ cm}$.

The area of a parallelogram is $100 \text{ cm}^2$. If the base is $20 \text{ cm}$, what is the height?

Find the area of a parallelogram where base is $5.2 \text{ cm}$ and height is $3 \text{ cm}$.

A parallelogram has base $12 \text{ cm}$ and height $8 \text{ cm}$. A rectangle has the same area and a length of $16 \text{ cm}$. Find the width of the rectangle.

In a parallelogram, the base is $3 \text{ cm}$ more than the height. If the area is $40 \text{ cm}^2$, find the height.

The area of a parallelogram is $50 \text{ cm}^2$. If its base and height are equal, find the length of the base.

The base of a parallelogram is twice its height. If the area is $72$ sq. cm, what is the length of its base?

A rhombus is a special type of parallelogram where all sides are equal. If the area of a rhombus is $96$ sq. cm and one of its altitudes is $8$ cm, find its perimeter.

Find the area of a parallelogram whose base is $14$ cm and the height is $1/7$ of the perimeter of a square with side $7$ cm.

What is the area of a triangle with base $12\text{ m}$ and height $7\text{ m}$?

Calculate the area of a triangle with base $2.5\text{ cm}$ and height $4\text{ cm}$.

In a triangle, the base is $15\text{ cm}$ and the area is $45\text{ cm}^2$. What is its height?

A triangle has an area of $50\text{ cm}^2$ and a height of $10\text{ cm}$. What is the length of its base?

The area of a triangle is equal to the area of a square of side $6\text{ cm}$. If the base of the triangle is $9\text{ cm}$, find its height.

Calculate the area of the triangle if the base is $15\text{ cm}$ and the height is $2/3$ of the base.

If the base of a triangle is increased by $20\%$ and the height is decreased by $20\%$, what happens to the area?

Find the area of the shaded region in a rectangle of $20\text{ cm} \times 15\text{ cm}$ where the shaded region is a triangle formed by joining the midpoints of three sides of the rectangle.

In a triangle $XYZ$, the area is $48\text{ cm}^2$. If a median $XM$ is drawn, what is the area of the triangle $XYM$?

A triangular plot has an area of $600\text{ sq.m}$. If the altitude is $10\text{ m}$ longer than the base, find the length of the base.

A wire is in the shape of a circle of radius $28$ cm. If it is bent into a square, what will be the length of the wire? (Use $\pi = \frac{22}{7}$)

If the area of a circle is $12.56$ $\text{cm}^2$, what is its radius? (Take $\pi = 3.14$)

The circumference of a circle is $22$ cm. Find its diameter. (Use $\pi = \frac{22}{7}$)

Find the radius of a circle whose area is $314$ $\text{cm}^2$. (Take $\pi = 3.14$)

A wheel makes $1000$ revolutions to cover a distance of $88$ km. What is the diameter of the wheel? (Take $\pi = \frac{22}{7}$)

Find the circumference of a circle whose radius is $0.7$ cm.

The area of a circle is $12.56$ cm$^2$. Find its radius. (Take $\pi = 3.14$)

The cost of fencing a circular field at the rate of $₹24$ per meter is $₹5280$. What is the cost of ploughing the field at $₹0.50$ per square meter?

Two circles touch each other externally. The sum of their areas is $130\pi\text{ cm}^2$ and the distance between their centers is $14$ cm. Find the radius of the smaller circle.

The radius of a circle is $14$ cm. A sector of $90^{\circ}$ is removed. What is the area of the remaining part?

A square park of side $25\text{ m}$ has a $5\text{ m}$ wide path inside it. Find the area of the path.

A rectangular field is $42\text{ m}$ long and $38\text{ m}$ wide. A path $2\text{ m}$ wide is made outside it. Find the area of the path.

A square tile of side $12\text{ cm}$ has a $2\text{ cm}$ wide border inside it. Find the area of the border.

A rectangular garden $100\text{ m} \times 50\text{ m}$ has two perpendicular roads $2\text{ m}$ wide through its center. Find the area of the roads.

A rectangular park $45\text{ m}$ by $30\text{ m}$ has two perpendicular crossroads of width $2\text{ m}$ each. Find the area of the remaining park.

A circular pond of radius $30\text{ m}$ has a path $5\text{ m}$ wide constructed outside it. Find the area of the path. (Take $\pi = 3.14$)

A rectangular ground $150\text{ m} \times 100\text{ m}$ is surrounded by a $5\text{ m}$ wide road on the outside. Find the cost of gravelling the road at $₹10$ per $\text{m}^2$.

A circular park of radius $50\text{ m}$ has a road $5\text{ m}$ wide around it on the outside. Find the area of the road. (Take $\pi = 3.14$)

Two roads each of width $10\text{ m}$ cut at right angles in the center of a rectangle of $700\text{ m} \times 300\text{ m}$. Find the area of the roads.

A rectangular piece of land is $75\text{ m}$ long and $60\text{ m}$ wide. A $3\text{ m}$ wide path is constructed around it on the inside. Find the cost of gravelling it at ₹$35$ per $\text{m}^2$.

Convert $35,000 \text{ cm}^2$ into square meters ($\text{m}^2$).

How many square meters are in $1.1 \text{ hectares}$?

Express $450 \text{ mm}^2$ in square centimeters ($\text{cm}^2$).

Convert $8.4 \text{ cm}^2$ to square millimeters ($\text{mm}^2$).

The side of a square is $\frac{3}{4} \text{ m}$. What is its area in square centimeters ($cm^{2}$)?

Convert $750 \text{ mm}^{2}$ into square centimeters ($cm^{2}$).

A rectangular playground is $500 \text{ cm}$ long and $300 \text{ cm}$ wide. Find its area in square meters ($m^{2}$).

What is the ratio of $1\text{ hectare}$ to $1\text{ km}^2$?

Find the area of a circle in $\text{m}^2$ if its diameter is $140\text{ cm}$.

The base of a parallelogram is twice its height. If the area is $0.18\text{ m}^2$, find the height in centimeters ($\text{cm}$).