shantal8222 shantal8222
  • 14-05-2022
  • Mathematics
contestada

A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?

Respuesta :

Leora03
Leora03 Leora03
  • 14-05-2022

Answer:

8 cm

Step-by-step explanation:

To find the length of the rectangle's base, form 2 equations using the given information.

Perimeter of rectangle= 2(height +base)

Let the lengths of the height and base of the rectangle be h and b cm respectively.

Perimeter= 80

2(h +b)= 80

h +b= 80 ÷2

h +b= 40 -----(1)

h= 4b -----(2)

Let's solve by substitution!

Substitute (2) into (1):

4b +b= 40

5b= 40

b= 40 ÷5

b= 8

Thus, the length of its base is 8 cm.

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