ABCD is a rectangle which has a breadth of 13 m. It is divided into 4 triangles. Triangle E is
114 of the area of the rectangle and
14 the area of Triangle G. Triangle F has an area of 52 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
E |
F |
G |
Rectangle |
1 |
|
|
14 |
1 |
|
4 |
|
1 u |
2 u |
4 u |
14 u |
(a)
Area of Triangle F
= Half of Rectangle ABCD - Triangle G - Triangle E
= (14 u ÷ 2) - 1 u - 4 u
= 2 u
2 u = 52
1 u = 52 ÷ 2 = 26
Area of the rectangle
= 14 u
= 14 x 26
= 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