MATH SOLVE

3 months ago

Q:
# The area of a rectangle is 375 in? The ratio of the length to the width is 5:3. Find the length and the width The length of the rectangle isin

Accepted Solution

A:

Answer:Length = 25 inches and width = 15 inches. Step-by-step explanation:Let us assume that the length of the rectangle is L inches and the width of the rectangle is W inches.
Now, the area of the rectangle is A = LW = 375 sq. inches ........... (1)
Now, given that the length to width ratio of the rectangle is 5 : 3.
Let L = 5x and W = 3x, then from equation (1) we get,
(5x)(3x) = 375
⇒ 15x² = 375
⇒ x² = 25
⇒ x = 5 {Neglecting the negative root, as length can not be negative}
Now, Length = L = 5x = 25 inches and Width = W = 3x = 15 inches. (Answer)