The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of square KLMN is $28 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 267 m, KL is
18 of RT and QP is 141 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
1 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
KL = 1 u = 28 x 1 = 28 m
Area of the picnic area
= 28 x 28
= 784 m
2 Cost of the picnic area
= 784 x 28
= $21952
(b)
Perimeter of the fountain area
= 267 + 141 + 224
= 632 m
Cost of fencing the fountain area
= 632 x 12
= $7584
Answer(s): (a) $21952; (b) $7584