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 $15 per square metre and the cost of fencing the fountain area is $13 per metre. Given that QS is 267 m, KL is
57 of RT and QP is 174 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
KL = 5 u = 32 x 5 = 160 m
Area of the picnic area
= 160 x 160
= 25600 m
2 Cost of the picnic area
= 25600 x 15
= $384000
(b)
Perimeter of the fountain area
= 267 + 174 + 224
= 665 m
Cost of fencing the fountain area
= 665 x 13
= $8645
Answer(s): (a) $384000; (b) $8645