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 $22 per square metre and the cost of fencing the fountain area is $14 per metre. Given that QS is 244 m, KL is
111 of RT and QP is 150 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
1 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
KL = 1 u = 18 x 1 = 18 m
Area of the picnic area
= 18 x 18
= 324 m
2 Cost of the picnic area
= 324 x 22
= $7128
(b)
Perimeter of the fountain area
= 244 + 150 + 198
= 592 m
Cost of fencing the fountain area
= 592 x 14
= $8288
Answer(s): (a) $7128; (b) $8288