LMNP is a rectangle which has a breadth of 8 m. It is divided into 4 triangles. Triangle Q is
112 of the area of the rectangle and
13 the area of Triangle S. Triangle R has an area of 34 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
Q |
R |
S |
Rectangle |
1 |
|
|
12 |
1 |
|
3 |
|
1 u |
2 u |
3 u |
12 u |
(a)
Area of Triangle R
= Half of Rectangle LMNP - Triangle S - Triangle Q
= (12 u ÷ 2) - 1 u - 3 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Area of the rectangle
= 12 u
= 12 x 17
= 204 m
2 (b)
Length of the rectangle
= 204 ÷ 8
= 25.5 m
Perimeter of the rectangle
= 25.5 x 2 + 8 x 2
= 67 m
Answer(s): (a) 204 m
2; (b) 67 m