EFGH is a rectangle which has a breadth of 6 m. It is divided into 4 triangles. Triangle J is
112 of the area of the rectangle and
13 the area of Triangle L. Triangle K has an area of 16 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
J |
K |
L |
Rectangle |
1 |
|
|
12 |
1 |
|
3 |
|
1 u |
2 u |
3 u |
12 u |
(a)
Area of Triangle K
= Half of Rectangle EFGH - Triangle L - Triangle J
= (12 u ÷ 2) - 1 u - 3 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Area of the rectangle
= 12 u
= 12 x 8
= 96 m
2 (b)
Length of the rectangle
= 96 ÷ 6
= 16 m
Perimeter of the rectangle
= 16 x 2 + 6 x 2
= 44 m
Answer(s): (a) 96 m
2; (b) 44 m