Question

Can u please help me with this 2 problem please

Answer 1

19.

Given

• window width and height are in proportion to building width and height
• window width and height are 11 in and 18 in, respectively
• building height is 108 ft

Find

• building width

Solution

The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

... (building width) = (building heigh) × (window width)/(window height)

... (building width) = 108 ft × (11 in)/(18 in)

... building width = 66 ft

21.

Given

• map distance = 6.75 in
• map scale = 1.5 in : 5 mi

Find

• actual distance

Solution

The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi