Question

The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?

a.
h = 9cm, b = 18 cm
c.
h = 10 cm, b = 20 cm
b.
h = 19 cm, b = 38 cm
d.
h = 10 cm, b = 15 cm

Answer 1

A) 2 height + 2 width = 60
B) 2 * height = base (width)
Multiplying equation B) by minus 1
B) -2 * h + w = 0 then adding this to equation A)
A) 2h + 2w = 60
3 * width = 60
width = 20
height = 10

Answer 2

c) is the correct answer because since the base is 2 times the height, this means that the base is larger than the height. And when u look at c, and u add up all the sides( 10+10+20+20) you get the perimeter, 60 cm