Question

The perimeter of a rectangle is
30m. The length of the rectangle is
3 m more than twice the width. Find
the dimensions of the rectangle
a. 3m x 12m
b 4m x 11m
c 8m x 7m
d 6m x 9m

Answer 1

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Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

Defining the variables, let

Width = x

Length = 2x+3 (3 more than twice the width)

Plugging everything into the equation

30= 2(x) + 2(2x+3) using the distributive property,

30=2x+4x+6 combining like terms

30=6x+6 subtracting 6 from both sides,

24=6x divide both sides by 6

4=x This means that the width is 4 m.

To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for

L=2(4)+3

L=8+3 = 11 m

So the dimensions of the rectangle are width is 4 m and length is 11 m.