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 PQRS is $28 per square metre and the cost of fencing the fountain area is $13 per metre. Given that UW is 251 m, PQ is
58 of VX and UT is 154 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
PQ : VX
5 : 8
8 u → 200 m
1 u → 200 ÷ 8 = 25 m
PQ = 5 u = 25 x 5 = 125 m
Area of the picnic area
= 125 x 125
= 15625 m
2 Cost of the picnic area
= 15625 x 28
= $437500
(b)
Perimeter of the fountain area
= 251 + 154 + 200
= 605 m
Cost of fencing the fountain area
= 605 x 13
= $7865
Answer(s): (a) $437500; (b) $7865