Question

A rectangle is 32m by 8m is similar to a rectangle 4m by x m.

Find the 2 possible values of x :
x= ? m
x= ? m

(help assssssap )

Answer 1

x = 1

Explanation:

x/4 = 8/32

x = 1

Best Regards!

Answer 2

X=1 m

X= 0.81 m

Explanation:

for the first X you must put in a proportion like this

38:8=4:X

X=(4×8)/38= 1 m

for the second one's you could use Pythagorean theorema

finding the diagonal of the biggest rectangle and you must put the diagonals in proportion whit the 2 sides

32:4=Y:32.9

Y=(32×32.9)/4=4.1 m (diagonal of the smallest rectangle)

`} \sqrt{ {4.1}^(2) - {4}^(2) } = 0.81m`

use an other time the Pythagorean theorema and you find the other option