Ask Question
28 April, 21:05

The sides of a square are all increased by 3 cm. The area of the new square is 64 cm'.

Find the length of a side of the original square.

+5
Answers (1)
  1. 28 April, 22:13
    0
    Side of the original square is 5 cm.

    Step-by-step explanation:

    Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²

    Area of a square = (side) ²

    ⇒ 64 = (x + 3) ²

    ⇒ 64 = x² + 6x + 9

    ⇒ x² + 6x - 55 = 0

    ⇒ x² + 11x - 5x - 55 = 0 (Since 6x = 11x - 5x as part of factorizing)

    ⇒ x (x + 11) - 5 (x + 11) = 0

    ⇒ (x + 11) (x - 5) = 0

    ⇒ x = - 11 and x = 5 (Lengths can't be negative)

    Side of the original square is 5 cm.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The sides of a square are all increased by 3 cm. The area of the new square is 64 cm'. Find the length of a side of the original square. ...” 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