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
[tex](l-8)*l=468\\l^2-8l=468\\l^2-8l-468=0[/tex]
Solving the equation by factorization;
[tex]l^2+18l-26l-468=0\\l(l+18)-26(l+18)=0\\(l+18)(l-26)=0\\[/tex]
Either,
l+18=0 => l= -18
Or,
l-26=0 => l=26
As length cannot be negative, therefore,
l=26cm
w= [tex]l-8=26-8\\[/tex]
w=18cm
Length of garden is 26cm and width is 18cm.
Keywords: Rectangle, area
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