Answered

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A rectangular garden is to cover 416 square feet of area. If the width is 10

feet less than the length, find the dimensions of the garden.

Sagot :

Answer:

Length = 26 feet, Width = 16 feet

Step-by-step explanation:

Let the length be l.

Width b = l-10

The area of a rectangular garden, A = 416 feet²

We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :

[tex]A=lb\\\\l(l-10)=416\\\\l^2-10l-416=0\\\\l=26\ ft,-16\ ft[/tex]

Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.

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