A rectangular garden is to cover 468 square feet of area. If the width 8 feet less than the length find both dimensions, with th

Question

2 years ago

9

e use of factoring

1 answer:

melisa1 [442] · Answer 1 · 2022-06-13T10:22:04+03:00

Length of garden is 26cm and width is 18cm.

Step-by-step explanation:

Given,

Area = 468 Square feet

Let l be the length and w be the width.

According to statement;

w = l - 8 Eqn 1

Area = w*l = 468 Eqn 2

Putting Eqn 1 in Eqn 2

$(l-8)*l=468\\l^2-8l=468\\l^2-8l-468=0$

Solving the equation by factorization;

$l^2+18l-26l-468=0\\l(l+18)-26(l+18)=0\\(l+18)(l-26)=0\\$

Either,

l+18=0 => l= -18

Or,

l-26=0 => l=26

As length cannot be negative, therefore,

l=26cm

w= $l-8=26-8\\$

w=18cm

Length of garden is 26cm and width is 18cm.

Keywords: Rectangle, area

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