PQRS is a rectangle which has a breadth of 11 m. It is divided into 4 triangles. Triangle T is
111 of the area of the rectangle and
13 the area of Triangle V. Triangle U has an area of 27 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
T |
U |
V |
Rectangle |
1 |
|
|
11 |
1 |
|
3 |
|
1 u |
1.5 u |
3 u |
11 u |
(a)
Area of Triangle U
= Half of Rectangle PQRS - Triangle V - Triangle T
= (11 u ÷ 2) - 1 u - 3 u
= 1.5 u
1.5 u = 27
1 u = 27 ÷ 1.5 = 18
Area of the rectangle
= 11 u
= 11 x 18
= 198 m
2 (b)
Length of the rectangle
= 198 ÷ 11
= 18 m
Perimeter of the rectangle
= 18 x 2 + 11 x 2
= 58 m
Answer(s): (a) 198 m
2; (b) 58 m