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Bill is making a garden that is twice as long as it is wide. He wants to cover 288 square feet with the garden. Which equation best represents the situation if X represents the length of the garden?

A. x + 1/2x = 288
B. x · 1/2x = 288
C. 2x = 288
D. x + 2x = 288

Respuesta :

Parrain

The equation that best describes the situation is B. x · 1/2x = 288

Bill wants to make a garden where the length (x) is twice as long as the width.

This means that since x is the length, the width will be half of x or:

= 1/2x

So:

  • length = x
  • width = 1/2x

The area of a rectangular garden is:

= Length x width

The area is 288 ft²

The relevant expression is:

Length x Width = Area

x × 1/2x = 288 ft²

The correct answer is therefore option B.

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