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The length of a rectangle is 4 times the width. The area is 676 square meters. Find the length and width of the rectangle.

Sagot :

JohnAnkrah

Answer:

width=13cm and length=52cm

Step-by-step explanation:

let x represent width=x

since the length is 4 times the width, length=4x

Area=length × width

676=4x × x

676=4x²

To find x divide both side by the co-efficient of x which is 4

676/4=4x²/4

169=x²

Then find the square root of both sides to get x

√169=√x²

13=x

Therefore x=13

Now we can find the length and width since we replaced length by 4x and breadth by x

therefore we need to substitute x by 13

length=4(x)

=4(13)

=4 × 13

=52cm

Breadth=x

=13cm

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