Question

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answer 1

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

• The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

• Therefore:

x² = 36

• Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

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