Question

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 24 ft^2 what are the new dimensions of the garden

Answer 1

The new dimension of the rectangle are as follows;

• 6 ft
• 4 ft

How to find the new dimension of the rectangle?

The new dimension of the rectangle can be found as follows;

The sides of a square are equal.

Therefore,

let the side of the square = x

Hence,

length = x + 3

width = x + 1

area of rectangle = lw

where

• l = length
• w = width

Therefore,

24 = (x + 3)(x + 1)

24 = x² + x + 3x + 3

24 = x² + 4x + 3

x² + 4x + 3 - 24

x² + 4x - 21 = 0

(x - 3)(x + 7)

Therefore,

x = 3 or -7

It can't be negative. Hence, x = 3 ft

Therefore, the new dimension of the rectangle are as follows;

• x + 3 = 3 + 3 = 6 ft
• x + 1 = 3 + 1 = 4 ft

learn more on rectangles here: https://brainly.com/question/17562456

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