Ask Question
23 December, 02:59

Need the answer, i want to make sure its right.

The area of a rectangular garden is 156 square meters. The width is 7 meters longer than one-half of the length. Find the length and the width of the garden.

+3
Answers (2)
  1. 23 December, 04:58
    0
    A=LW

    W=7 + (1/2) L

    A=156

    L (7 + (1/2) L) = 156

    7L + (1/2) L^2=156

    times both sides by 2

    L^2+14L=312

    minus 312 both sides

    L^2+14L-312=0

    what 2 numbers multiply to get - 312 and add to get 14?

    -12 and 26

    (L-12) (L+26) = 0

    set to zero

    L-12=0

    L=12

    L+26=0

    L=-26, false, can't have negative measure

    L=12

    W=7 + (1/2) L

    W=7 + (1/2) (12)

    W=7+6

    W=13

    length=12m

    width=13m
  2. 23 December, 06:31
    0
    I think the width is 13 and the length is 12
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Need the answer, i want to make sure its right. The area of a rectangular garden is 156 square meters. The width is 7 meters longer than ...” 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