QRST is a rectangle which has a breadth of 14 cm. It is divided into 4 triangles. Triangle U is
114 of the area of the rectangle and
14 the area of Triangle W. Triangle V has an area of 58 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
U |
V |
W |
Rectangle |
1 |
|
|
14 |
1 |
|
4 |
|
1 u |
2 u |
4 u |
14 u |
(a)
Area of Triangle V
= Half of Rectangle QRST - Triangle W - Triangle U
= (14 u ÷ 2) - 1 u - 4 u
= 2 u
2 u = 58
1 u = 58 ÷ 2 = 29
Area of the rectangle
= 14 u
= 14 x 29
= 406 cm
2 (b)
Length of the rectangle
= 406 ÷ 14
= 29 cm
Perimeter of the rectangle
= 29 x 2 + 14 x 2
= 86 cm
Answer(s): (a) 406 cm
2; (b) 86 cm