Question

A rectangle has a length of (x + 3) centimeters and a width of (½ x) centimeters. If the perimeter is 16 centimeters, what is the length of the rectangle. Write and solve an equation whose solution will give the length of the rectangle.

Answer 1

length6.3cm

width=1.66cm

Explanation:

Step one:

given data

length =(x + 3)cm

width= (½ x)cm

perimeter= 16cm

Step two:

we know that the perimeter of a rectangular shape is expressed as

P=2L+2W

substitute we have

16=2(x+3)+2 (½ x)

solve for x

16=2x+6+x

16-6=3x

10=3x

divide both sides by 3

x=10/3

x=3.3

we know that length =(x + 3)cm

length =(3.3 + 3)= 6.3cm

width= (½ x)cm

width= (½*3.3)= 1.66cm