Question

1. the diagram below shows a flower garden. the price of a fence is r35 per metre. how much will it cost to put a fence around the garden? a 9 m d 3 m 15 m c b hint: use the theorem of pythagoras.

Explanation:

Step1: Find length of BC

The vertical side of the right - angled triangle formed by BC is \(15 - 3=12\)m and the horizontal side is 9m. By the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 9\)m and \(b = 12\)m. So \(BC=\sqrt{9^{2}+12^{2}}=\sqrt{81 + 144}=\sqrt{225}=15\)m.

Step2: Calculate perimeter of the garden

The perimeter \(P\) of the garden is \(P=15 + 9+3 + 15=42\)m.

Step3: Calculate the cost of the fence

The cost \(C\) of the fence is \(C = 35\times42=\text{R}1470\).

Answer:

R1470