AREA OF TRIANGLE WORD PROBLEMS WORKSHEET

Problem 1 :

Calculate the area of the triangle.

area-of-triangle-q1

Solution

Problem 2 :

A triangle has base length of 14 cm. The perpendicular height is 9 cm. Find the area of the triangle. 

Solution

Problem 3 :

Work out the area of the right - angled triangle.

area-of-triangle-q3

Solution

Problem 4 :

The area of the triangle is 20 cm2, find x.

area-of-triangle-q4

Solution

Problem 5 :

The area of the triangle is 30 cm2, find y.

area-of-triangle-q5

Solution

Problem 6 :

The area of the triangle is 12 cm2, find z.

area-of-triangle-q6

Solution

Problem 7 :

The area of the triangle is 56 cm2, find a.

area-of-triangle-q7

Solution

Problem 8 :

The diagram below shows a farmer's field.

area-of-triangle-q8

The farmer wants to plant a new crop. Each sack of seed covers 30m2. The cost of each sack is $6.

Work out the cost to buy enough seed to cover the field.

Solution

Problem 9 :

ABCD and WXYZ are squares.

area-of-triangle-q9

Calculate the area of the shaded square WXYZ.

Solution

Problem 10 :

The diagram below shows a garden.

area-of-triangle-q10

The garden has a triangular vegetable patch and the rest of the garden is grass calculate the area of the garden that is grass.

Solution

Problem 11 :

A logo consists of a rectangle and an isosceles triangle.

area-of-triangle-q11

Calculate the area of the logo.

Solution

Answer Key

1)  Area of a triangle is 25 cm2.

2)  Area of a triangle is 63 cm2.

3)  area of a triangle is 14 cm2.

4)  x = 8 cm

5)  y = 10 cm

6)  z = 4 cm

7)  a = 14 cm2

8)  $522

9)  area of the shaded square WXYZ is 68 cm.

10)  86 m2

11)  area of the logo is 135 cm2.

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