Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's

Question

2 years ago

9

width. The area of the card is 88 square inches. What is the width of the card to the nearest tenth of an inch?

1 answer:

klemol [59] · Answer 1 · 2023-02-10T15:26:12+03:00

The width of the card to the nearest tenth of an inch is 6.15 inches

<h3>Area of rectangle</h3>

Area of a rectangle = Length × Width

88 = (2x + 2) × x

88 = 2x² + 2x

2x² + 2x - 88 = 0

x = -b ± √b² - 4ac / 2a

= -2 ± √2² - 4(2)(-88) / 2(2)

= -2 ± √4 - (-704) / 4

= -2 ± √708 / 4

= -1/2 ± √177/2

x = 6.15 or -7.15 inches

The width of the rectangle can not be negative, so, 6.15 inches is the width.

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