Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. ishmael has 80 feet of fencing material. he is building a rectangular garden behind his house. the ratio of the length of the garden to its width will be 5 : 3. how wide can he build his garden with the amount of fencing that he has? the garden can be feet wide.

Explanation:

Step1: Define variables for dimensions

Let width $w = 3x$, length $l = 5x$.

Step2: Set up perimeter equation

Perimeter of rectangle: $2(l + w) = 80$
Substitute $l,w$: $2(5x + 3x) = 80$

Step3: Simplify and solve for $x$

$2(8x) = 80 \implies 16x = 80 \implies x = \frac{80}{16} = 5$

Step4: Calculate width

$w = 3x = 3 \times 5 = 15$

Answer:

15