Question

May I please get help with this. I still can not figure the answers for them.

Answer 1

ANSWERS

(a) 6 centimeters

(b) 90 inches

Step-by-step explanation

The scale is 1 cm:10 in. We will use the ratio as a fraction of 1cm/10in or 10in/1cm depending on the units we want the answer to having.

(a) In this case, we know that the painting's height is 60 inches, and we want to know the scale drawing's height in centimeters. Therefore, we have to use the ratio 1cm/10in because the inches will cancel out, leaving the answer in centimeters,

`60in\cdot(1cm)/(10in)=6cm`

Hence, the height of the scale drawing is 6 cm.

(b) In this case, we know the length of the scale drawing, 9 centimeters. To find the painting's real length, we have to use the ratio of 10in/1cm. This way the centimeters will cancel out and the answer will be in inches,

`9cm\cdot(10in)/(1cm)=90in`

Hence, the real length of the painting is 90 in.