AREA AND PERIMETER WORD PROBLEMS WORKSHEET

Problem 1 :

If the perimeter of a square is 16, what is its area?

Solution

Problem 2 :

If a triangle has area of 35 and length of 16, what is its base?

Solution

Problem 3 :

If a triangle has area of 32 and height of 5, what is its base?

Solution

Problem 4 :

If the perimeter of a rectangle is 14 and the length is 5 more than the width, what is its area?

Solution

Problem 5 :

If perimeter of a rectangle is 14 and the length is 4 more than the width, what is its area?

Solution

Problem 6 :

If a square has a side of 1/2 inch, what is its area?

Solution

Problem 7 :

If a rectangle has dimensions of 3/4 inch and 5/8 inch, what is its area?

Solution

Problem 8 :

If a rectangle has area of 32 2/3 inch and a length of 14 inch, what is its width?

Solution

Problem 9 :

If a rectangle has area of 38 inch and a length of 4 ¾ inch, what is its width?

Solution

Problem 10 :

A nursery school playground is 160 m long and 80 m wide. In it 80 m x 80 m is kept for swings and in the remaining portion, there are 1.5 m wide path parallel to its width and parallel to its remaining length shown. The remaining area is covered by grass. Find the area covered by grass.

Solution

Problem 11 :

Find the area of a parallelogram shaped region. Also find the area of each triangle. What is the ratio of the shaded portion to the remaining area of rectangle ?

Solution

Problem 1 :

The area of a square is 625 cm². Find the length of the sides.

Solution

Problem 2 :

The area of a rectangle is 600 cm². Find the width of the rectangle if the length is 40 cm.

Solution

Problem 3 :

The area of a triangle is 45 cm². Find the base of the triangle if the height is 9 cm.

Solution

Problem 4 :

The area of the circle is 8π cm². Find the circumference of the circle.

Solution

Problem 5 :

The area of a square is 400 cm². Find the perimeter of the square.

Solution

Problem 6 :

The perimeter of a rectangle is 30 cm with the length being 8 cm. Find the area of the rectangle.

Solution

Problem 7 :

If a rectangle has area of 32 2/3 inch and a length of 14 inch, what is its width?

Solution

Problem 8 :

If a rectangle has area of 38 inch and a length of 4 ¾ inch, what is its width?

Solution

Problem 9 :

A rectangle field is 48 m long and 20 m wide. How many triangular flower beds whose sides containing right angle measure 12 m and 5 m can be laid on this field ?

Solution

Problem 10 :

The measurements in this given figure are in the cm. What is its are in the cm. What is its area ?

Solution

Problem 11 :

If the perimeter of a square increased by 25% then what is the increase in its area ?

Solution

Problem 12 :

Find the cost of flooring the portico at the rate of $12 per square meter if the length and width of portico are in the ratio of 3 : 2 and its perimeter is 40 m.

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Problem 10 :

If length and width of a rectangular is halved then its area will be _______

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Problem 11 :

The wire of length 84 m is converted into a square then broken to form a rectangle of length 30 m. Find the width of the rectangle.

Solution

Problem 12 :

The ratio of lengths of two rectangular fields is 4 : 3 and the ratio of their widths is 3 : 2. Find the ratio of their areas.

Solution

Problem 13 :

The area of a square is 3/4 times area of a rectangle and width of the rectangle is 1/4 times of its length. Find the area of the square if the sum of length and width of the rectangle is 15 m.

Solution

Problem 14 :

The length of the diagonal of a square is 50. Find the perimeter of a square.

Solution