Question

A scale drawing for a plot of land is shown below.

In the drawing, 3 cm represents 5 m.
Assuming the backyard is rectangular, find the area of the real backyard.
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Answer 1

area=150cm square

Explanation:

l=3 cm ,b=5m=50cm

area of rectangle=3×50

area=150cm square

Answer 2

Assuming the backyard is rectangular, the area of the real backyard would be 75m².

What is the area of the real backyard?

The formula for the area of a rectangle can be described as follows;

Area = length × width (A = l × w)

According to the question, 3cm represents 5m. Therefore the length of the patio, which is 9cm would represent 15m. The formula for a rectangle is length * width.

So, the area of the rectangle in the above instance is 15m * 5 m = 75m². We can then conclude that assuming the backyard is rectangular, the area of the real backyard would be 75m².