DEFG is a rectangle which has a breadth of 7 m. It is divided into 4 triangles. Triangle H is
114 of the area of the rectangle and
14 the area of Triangle K. Triangle J has an area of 20 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
H |
J |
K |
Rectangle |
1 |
|
|
14 |
1 |
|
4 |
|
1 u |
2 u |
4 u |
14 u |
(a)
Area of Triangle J
= Half of Rectangle DEFG - Triangle K - Triangle H
= (14 u ÷ 2) - 1 u - 4 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Area of the rectangle
= 14 u
= 14 x 10
= 140 m
2 (b)
Length of the rectangle
= 140 ÷ 7
= 20 m
Perimeter of the rectangle
= 20 x 2 + 7 x 2
= 54 m
Answer(s): (a) 140 m
2; (b) 54 m