Answered

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The width of a rectangle is 4 more than the length. If the perimeter is 36 cm, ind the dimensions (length and width) of the rectangle.

Sagot :

Hi1315

Answer with step-by-step explanation:

Let the width of the rectangle be x.

Given that,

length ⇒ 4

width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)

Perimeter ⇒ 36cm

The formula to find the perimeter of rectangle is:

P = 2 ( l + w )

Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.

P = 2 ( l + w )

36 = 2 ( 4 + x + 4 )

36 = 2 ( x + 8 )

Solve the brackets.

36 = 2x + 16

Substract 16 from both sides.

36 - 16 = 2x

20 = 2x

Divide both sides by 2.

10 = x

And now let us find the exact dimensions of the rectangle.

Length = 4 cm

Width = x + 4 = 10 + 4 = 14 cm

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