Question

Nicole is planting a rectangular garden in her backyard. She wants the length of the garden to be 5 yards. The area of the garden must be at most 30 square yards. (Nicole doesn't want to buy any more soil.) Write an inequality that describes the possible widths (in yards) of the garden.

Answer 1

The inequality that best describes the width of the garden is

Width ≤ 6 yards

Area ≤ Length* Width

Given data

Length = 5 yards

Width = ??

Area = 30 square yards

From the formula of the area of rectangle we have

Area = Length * Width

Let the width be x

Substitute

30 = 5 * x

30 = 5x

Divide both sides by 5

x = 30/5

x = 6 yards

Hence the with should be less than or equal to 6 yards

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