ABCD is a rectangle which has a breadth of 8 m. It is divided into 4 triangles. Triangle E is
112 of the area of the rectangle and
13 the area of Triangle G. Triangle F has an area of 24 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
E |
F |
G |
Rectangle |
1 |
|
|
12 |
1 |
|
3 |
|
1 u |
2 u |
3 u |
12 u |
(a)
Area of Triangle F
= Half of Rectangle ABCD - Triangle G - Triangle E
= (12 u ÷ 2) - 1 u - 3 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Area of the rectangle
= 12 u
= 12 x 12
= 144 m
2 (b)
Length of the rectangle
= 144 ÷ 8
= 18 m
Perimeter of the rectangle
= 18 x 2 + 8 x 2
= 52 m
Answer(s): (a) 144 m
2; (b) 52 m