Question

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

Answer 1

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

`Length = 7cm`

`Width = 5cm`

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

`Length = 7 * 5ft`

`Length = 35ft`

`Width = 5 * 5ft`

`Width = 25ft`

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

`Length = 7cm\\Width = 5cm`

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

`Length = 7 * 8ft`

`Length = 56ft`

`Width = 5 * 8ft`

`Width = 40ft`

So, the new measurement is 56ft by 40ft