Answer:
If the length of the garden is (x + 5) then the width will be (x + 3)
The area of the garden is 48 sq feet
Step-by-step explanation:
The garden is x^2 + 8x + 15 sq feet
Use the factorization method and break the middle term:
x^2+3x+5x+15
Group the first two terms and last two terms:
(x^2+3x)+(5x+15)
Take out the common from each pair.
x(x+3) +5(x+3)
(x+5)(x+3)
<em>We have already been given that x+5 is the length. Then this shows that x+5 is the length and x+3 is the width</em>
<em>If the length of the garden is (x + 5) then the width will be (x + 3)</em>
The method I used is the F.O.I.L. method
The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product.
(x + 5)(x + 3) = x^2 + 3x + 5x + 15
Solve the like terms:
= x^2 + 8x + 15
b) x= 3 feet
(x + 5)(x + 3)
Substitute the value in the expression
(3 + 3)(5 + 3)= (8)(6)= 48 square feet
<em>Area of the garden is 48 sq feet.</em>
no solution
infinite solutions
x = -36
x = 0
has infinite solutions, which is your answer.
