Ask Question
13 October, 06:28

Find the length and width of a rectangle of area A = 198 in^2 if its width = x and its length = x + 7.

+5
Answers (1)
  1. 13 October, 08:23
    0
    Length: 18

    Width: 11

    Step-by-step explanation:

    Step 1: Write out equation

    x (x + 7) = 198

    Step 2: Distribute

    x² + 7x = 198

    Step 3: Complete the square

    x² + 7x + 49/4 198 + 49/4

    (x + 7/2) ² = 841/4

    Step 3: Solve for x

    √ (x + 7/2) ² = √ (841/4)

    x + 7/2 = ±29/2

    x = - 7/2 ± 29/2

    x = 11, - 18

    Since you can't have negative length, your x will be 11. Now simply plug them in as width and length:

    Width = x

    x = 11 in

    Length = 11 + 7

    x = 18 in

    And we have our final answers!
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Find the length and width of a rectangle of area A = 198 in^2 if its width = x and its length = x + 7. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers