WORD PROBLEMS ON AREA OF 2D SHAPES WORKSHEET

Problem 1:

What is the area of the figure at the right?

a) 64 cm²       b) 88 cm²         c) 96 cm²        d) 112 cm²

Solution

Problem 2 :

The area of a parallelogram is 24 in², and the height is 6 in. find the length of the corresponding base.

Solution

Problem 3 :

A right isosceles triangle has area 98 cm². Find the length of each leg.

Solution

Problem 4 :

The area of a triangle is 108 in². A base and corresponding height are in the ratio 3 : 2. Find the length of the base and the corresponding height.

Solution

Problem 5 :

a)   Use Heron’s Formula to find the area of his triangle.

b)   Verify your answer to part (a) by using the formula

A = 1/2 bh.

Solution

Problem 6 :

The lengths of the sides of a right triangle are 10 in, 24 in, and 26 in. what is the area of the triangle?

a.116 in²          b.120 in²        c.130 in²       d.156 in²

Solution

Problem 7 :

Find the area of a trapezoid with bases 12 cm and 18 cm and height 10 cm.

Solution

Problem 8 :

Find the area of a trapezoid with bases 2 ft and 3 ft and height 1/3 ft.

Solution

Problem 9 :

What is the approximate area of Nevada?  The area of Nevada is about 110,600 mi².

Solution

Problem 10 :

What is the area of kite KLMN?

Problem 11 :

One base of a trapezoid is twice the other. The height is the average of the two bases. The area is 324 cm². Find the height and the lengths of the bases.

Solution

Problem 1 :

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Problem 2 :

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Problem 10 :

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

Solution

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

Find the areas of following figures :

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Problem 16 :

What will be the area of semicircle whose perimeter is 36 cm ?

a) 77 cm²   b) 68 cm²    c) 38 cm²

Solution

Problem 17 :

If a wire is bent into the shape of square then the area of the square is 81 sq.cm. When the wire is bent into a semicircular shape, then the area of the semicircle will be 

a) 22 cm²   b) 44 cm²    c) 77 cm²     d) 154 cm²

Solution

Problem 18 :

The circumference and area of a circle are numerically equal, then the diameter is equal to 

a) π/2    b) 2π    c)  2     d) 4

Solution