Question

6. A swimming pool water surface measures 10m long and 8m wide. A path of uniform width is made all round the swimming pool. The total area of the water surface and the path is 168m2 (a) Find the width of the path (4 mks) (b) The path is to be covered with square concrete slabs. Each corner of the path is covered with a slab whose side is equal to the width of the path. The rest of the path is covered with slabs of side 50cm. The cost of making each corner slab is sh 600 while the cost of making each smaller slab is sh.50. Calculate ii. The number of the smaller slabs used (4 mks) The total cost of the slabs used to cover the whole path (2 mks) ​

Answer 1

Answer: 2m is the width of the path

Explanation:

X - width of the path

(10+2x)*(8+2x) = 168

4Х^2 + 36X - 88 = 0

X^2 + 9X - 22 = 0

(X+11)*(X-2) = 0

X(1) = 2m

X(2) = -11m the width can not be negative

Answer: 2m is the width of the path