Please help! A rectangle with an area of 104 square centimeters has a length and width in a ratio of 13:2.
What are the length and width?
length =
centimeters
width
centimeters

Respuesta :

Answer:

length = 26 cm

width = 4 cm

Step-by-step explanation:

A = 104 cm²

A = length x width

ratio of length and width = 13 : 2

total ratio of length and width is 15 = a

so ratio of length is (13/15)a and width (2/15)a

A = length x width = (13/15)a x (2/15)a = (26/225)a² = 104

a² = 104 x 225 : 26 = 900

a = 30cm

length = (13/15)a = 13/15 x 30 = 26 cm

width = (2/15)a = 2/15 x 30 = 4 cm