RSTU is a rectangle which has a breadth of 8 m. It is divided into 4 triangles. Triangle V is
113 of the area of the rectangle and
13 the area of Triangle X. Triangle W has an area of 30 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
V |
W |
X |
Rectangle |
1 |
|
|
13 |
1 |
|
3 |
|
1 u |
2.5 u |
3 u |
13 u |
(a)
Area of Triangle W
= Half of Rectangle RSTU - Triangle X - Triangle V
= (13 u ÷ 2) - 1 u - 3 u
= 2.5 u
2.5 u = 30
1 u = 30 ÷ 2.5 = 12
Area of the rectangle
= 13 u
= 13 x 12
= 156 m
2 (b)
Length of the rectangle
= 156 ÷ 8
= 19.5 m
Perimeter of the rectangle
= 19.5 x 2 + 8 x 2
= 55 m
Answer(s): (a) 156 m
2; (b) 55 m