MNPQ is a rectangle which has a breadth of 13 m. It is divided into 4 triangles. Triangle R is
113 of the area of the rectangle and
14 the area of Triangle T. Triangle S has an area of 42 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
R |
S |
T |
Rectangle |
1 |
|
|
13 |
1 |
|
4 |
|
1 u |
1.5 u |
4 u |
13 u |
(a)
Area of Triangle S
= Half of Rectangle MNPQ - Triangle T - Triangle R
= (13 u ÷ 2) - 1 u - 4 u
= 1.5 u
1.5 u = 42
1 u = 42 ÷ 1.5 = 28
Area of the rectangle
= 13 u
= 13 x 28
= 364 m
2 (b)
Length of the rectangle
= 364 ÷ 13
= 28 m
Perimeter of the rectangle
= 28 x 2 + 13 x 2
= 82 m
Answer(s): (a) 364 m
2; (b) 82 m