MNPQ is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle R is
111 of the area of the rectangle and
13 the area of Triangle T. Triangle S has an area of 27 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
R |
S |
T |
Rectangle |
1 |
|
|
11 |
1 |
|
3 |
|
1 u |
1.5 u |
3 u |
11 u |
(a)
Area of Triangle S
= Half of Rectangle MNPQ - Triangle T - Triangle R
= (11 u ÷ 2) - 1 u - 3 u
= 1.5 u
1.5 u = 27
1 u = 27 ÷ 1.5 = 18
Area of the rectangle
= 11 u
= 11 x 18
= 198 cm
2 (b)
Length of the rectangle
= 198 ÷ 8
= 24.75 cm
Perimeter of the rectangle
= 24.75 x 2 + 8 x 2
= 65.5 cm
Answer(s): (a) 198 cm
2; (b) 65.5 cm