Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden. Whats the length and area?

Verified Answer :

Let

x-------> the length side of the original square garden

Step 1

Find the value of x

we know that

\((x-1)^{2}=25\)

taking square root both sides

\((x-1)=(+/-)\sqrt{25}\)

\((x-1)=(+/-)5\)

\(x1=1+5=6\ ft\)

\(x2=1-5=-4\ ft\)

the solution is

\(x=6\ ft\)

therefore

the answer Part a) is

The original length side of the square garden is \(6\ ft\)

Step 2

Find the area of the original square garden

we know that

the area of the original square garden is equal to

\(A=x^{2}\)

substitute the value of x in the formula

\(A=6^{2}=36\ ft^{2}\)

therefore

the answer part b) is

the area of the original square garden is \(36\ ft^{2}\)

Answer:

6 and 36

Step-by-step explanation: