Question

Jake received a birthday card from

his grandparents. The length of the
card was 2 inches longer than the
width. The card had an area of
48 square inches..
What were the dimensions of the card?

Answer 1

The dimensions of the card are width = 6 inches and length = 8 inches.

Step-by-step explanation:

Let's denote the width of the card as x inches. Since the length is 2 inches longer than the width, we can represent the length as (x + 2) inches. The area of a rectangle is given by the formula length × width, so we can set up the equation:

(x)(x + 2) = 48

Simplifying the equation:

x^2 + 2x = 48

By rearranging and factoring the equation, we get:

(x + 8)(x - 6) = 0

Therefore, the width of the card is 6 inches and the length is 8 inches.

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