Ask Question
5 February, 17:22

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 is

in

+4
Answers (1)
  1. 5 February, 17:56
    0
    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)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers