Question

A blueprint shows that a house’s length is 100cm and the width is 80cm. If the actual house length is 40 meters, what is the actual width?

Answer 1

Actual width of house = 32 meters

Explanation:

We are given that blueprint shows that a house’s length is 100cm and the width is 80 cm.

We will use the ratio method to find the actual width of the house if the actual length is 40 meters.

`\frac { 1 0 0 c m } { 1 c m } = \frac { 4 0 m } { x }`

`x = \frac { 4 0 } { 1 0 0 }`

`x = 0 . 4`

So actual width of the house =
`80 * 0.4` = 32 meters

Answer 2

32 meters

Explanation:

The question is on scale

Length of house on paper=100cm

Length of house actual=40m

finding the scale used;

make both lengths with similar units;

100cm rep 40m

100cm = 40×100 cm

100cm=4000cm

1:40⇒1cm rep 40 cm

Finding actual measurement of the width

1cm rep 40cm

80cm rep ?

cross multiply; (80×40)÷1= 3200cm

actual width=3200/100= 32 meters