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Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller lawn is 144 square feet in the equation x-8^2=144, xrepresents the side measures the original lawn what were the dementions of the original lawn

User Kporter
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2 Answers

4 votes

20 x 20 is what the dimensions is

User Dumars
by
8.0k points
4 votes

Answer: 20 feet by 20 feet.


Explanation:

1. You know that
x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for
x, as you can see below:

- You have that:


(a-b)^(2)=a^(2)-2ab+b^(2)

- Then, you obtain the following quadratic equation:


(x-8)^(2) =144\\x^(2)-2(x)(8)+8^(2)=144\\x^(2)-16x-80=0

- Apply the Quadratic formula to solve it:


x=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:


x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


User Bobobobo
by
8.4k points
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