The length of rectangular garden is 6 more than the width.the area is 27 sq.units. find the dimension of the garden
Answers
Answer:
Here is your answer
Step-by-step explanation:
let the width = x and so the length = x + 6
now area of rectangular = l × b = 27
so x ×(x + 6) = 27
so x^2 + 6x = 27
so x^2+ 6x - 27 = 0
do x^2 + 9x - 3x -27 = 0
so x(x + 9) - 3(x + 9)
so x = -9 or x = 3
so width = 3 and length = 3 + 6 = 9
Answer:
9 or -3
Step-by-step explanation:
let x be the width. Let x+6 be the length. And 27 is the area. (the formula of rectangle is L × W)
(x+6)x = 27
x²+6x=27
x²+6x-27=0
(x+9)(x-3) = 0
x+9=0 x-3=0
X=-9 x=3
check; for -9
(-9)(-9+6)=27
(-9)(-3)=27
27=27
(3)(3+6)=27
(3)(9)=27
27=27
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