PQRS is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle T is
113 of the area of the rectangle and
14 the area of Triangle V. Triangle U has an area of 13.5 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
T |
U |
V |
Rectangle |
1 |
|
|
13 |
1 |
|
4 |
|
1 u |
1.5 u |
4 u |
13 u |
(a)
Area of Triangle U
= Half of Rectangle PQRS - Triangle V - Triangle T
= (13 u ÷ 2) - 1 u - 4 u
= 1.5 u
1.5 u = 13.5
1 u = 13.5 ÷ 1.5 = 9
Area of the rectangle
= 13 u
= 13 x 9
= 117 cm
2 (b)
Length of the rectangle
= 117 ÷ 8
= 14.625 cm
Perimeter of the rectangle
= 14.625 x 2 + 8 x 2
= 45.25 cm
Answer(s): (a) 117 cm
2; (b) 45.25 cm