Question

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?

Answer 1

Answer:

6 and 36

Step-by-step explanation:

Answer 2

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 $36\ ft^{2}$