Question

The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height?

Answer 1

Answer: The cross multiplication of the proportion he should use to find the height of the playhouse is
`H=(3.5y)/(x)`

Explanation:

Since we have given that

Width of the playhouse = 3.5 m

Let the height of the playhouse be 'H'.

If Parker wants to keep the playhouse in proportion to the model.

Let the width of the model be 'x.

Let the height of the model be 'y'.

So, the proportion becomes,

`(W)/(H)=(x)/(y)\\\\(3.5)/(H)=(x)/(y)\\\\H=(3.5y)/(x)`

Hence, the cross multiplication of the proportion he should use to find the height of the playhouse is
`H=(3.5y)/(x)`

Answer 2

define
W= width playhouse real=3.5
H= height playhouse real

x=width playhouse model
y=height playhouse model
therefore

H/W=y/x------------------>H=y*W/x------------>H=3.5*y/x

The answer is 3.5*y/x to find the height H