PQRS is a rectangle which has a breadth of 13 cm. It is divided into 4 triangles. Triangle T is
113 of the area of the rectangle and
13 the area of Triangle V. Triangle U has an area of 70 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
T |
U |
V |
Rectangle |
1 |
|
|
13 |
1 |
|
3 |
|
1 u |
2.5 u |
3 u |
13 u |
(a)
Area of Triangle U
= Half of Rectangle PQRS - Triangle V - Triangle T
= (13 u ÷ 2) - 1 u - 3 u
= 2.5 u
2.5 u = 70
1 u = 70 ÷ 2.5 = 28
Area of the rectangle
= 13 u
= 13 x 28
= 364 cm
2 (b)
Length of the rectangle
= 364 ÷ 13
= 28 cm
Perimeter of the rectangle
= 28 x 2 + 13 x 2
= 82 cm
Answer(s): (a) 364 cm
2; (b) 82 cm