PQRS is a rectangle which has a breadth of 8 m. It is divided into 4 triangles. Triangle T is
114 of the area of the rectangle and
14 the area of Triangle V. Triangle U has an area of 18 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
T |
U |
V |
Rectangle |
1 |
|
|
14 |
1 |
|
4 |
|
1 u |
2 u |
4 u |
14 u |
(a)
Area of Triangle U
= Half of Rectangle PQRS - Triangle V - Triangle T
= (14 u ÷ 2) - 1 u - 4 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Area of the rectangle
= 14 u
= 14 x 9
= 126 m
2 (b)
Length of the rectangle
= 126 ÷ 8
= 15.75 m
Perimeter of the rectangle
= 15.75 x 2 + 8 x 2
= 47.5 m
Answer(s): (a) 126 m
2; (b) 47.5 m