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LekaFEV [45]
2 years ago
15

wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 wha

t are the new dimensions of the garden
Mathematics
1 answer:
amid [387]2 years ago
5 0

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

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