JKLM is a rectangle which has a breadth of 12 m. It is divided into 4 triangles. Triangle N is
112 of the area of the rectangle and
13 the area of Triangle Q. Triangle P has an area of 60 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
N |
P |
Q |
Rectangle |
1 |
|
|
12 |
1 |
|
3 |
|
1 u |
2 u |
3 u |
12 u |
(a)
Area of Triangle P
= Half of Rectangle JKLM - Triangle Q - Triangle N
= (12 u ÷ 2) - 1 u - 3 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Area of the rectangle
= 12 u
= 12 x 30
= 360 m
2 (b)
Length of the rectangle
= 360 ÷ 12
= 30 m
Perimeter of the rectangle
= 30 x 2 + 12 x 2
= 84 m
Answer(s): (a) 360 m
2; (b) 84 m