NPQR is a rectangle which has a breadth of 10 m. It is divided into 4 triangles. Triangle S is
111 of the area of the rectangle and
13 the area of Triangle U. Triangle T has an area of 43.5 m
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
S |
T |
U |
Rectangle |
1 |
|
|
11 |
1 |
|
3 |
|
1 u |
1.5 u |
3 u |
11 u |
(a)
Area of Triangle T
= Half of Rectangle NPQR - Triangle U - Triangle S
= (11 u ÷ 2) - 1 u - 3 u
= 1.5 u
1.5 u = 43.5
1 u = 43.5 ÷ 1.5 = 29
Area of the rectangle
= 11 u
= 11 x 29
= 319 m
2 (b)
Length of the rectangle
= 319 ÷ 10
= 31.9 m
Perimeter of the rectangle
= 31.9 x 2 + 10 x 2
= 83.8 m
Answer(s): (a) 319 m
2; (b) 83.8 m