Question

The diagrams show a right angled triangle and a rectangle.

Diagrams NOT
accurately drawn
15 cm
17 cm
12 cm
x cm
x cm
8 cm
12 cm
The area of the right-angled triangle is equal to the area of the rectangle.
Find the value of a
(4 marks)

Answer 1

x = 5

Explanation:

The area (A) of the triangle is calculated as

A =
`(1)/(2)` bh ( b is the base and h the height )

Here b = 8 and h = 15 , then

A =
`(1)/(2)` × 8 × 15 = 4 × 15 = 60 cm²

The area of the rectangle is also 60 cm² , then

length × breadth = 60 , that is

12x = 60 ( divide both sides by 12 )

x = 5

Answer 2

hope it helps you......................