Question

A rectangular house has a width of 60 feet and a length of 75 feet. Alexandra makes a blueprint of the house using a scale of 2 cm: 5 ft. What are the dimensions of the house on the blueprint?

Answer 1

Using the scale of 2 cm to 5 ft, Alexandra's blueprint of a rectangular house (actual dimensions 60 ft by 75 ft) will have width of 24 cm and length of 30 cm on the blueprint.

Step-by-step explanation:

To find the dimensions of the house on the blueprint that Alexandra is making, we need to use the scale she has chosen, which is 2 centimeters (cm) to 5 feet (ft). To do this, we convert the actual measurements of the house to the scale measurements by setting up ratios.

Calculating the Width

For the width:

• Actual width = 60 feet
• Scale = 2 cm : 5 ft
• We setup the ratio as 2 cm / 5 ft
• To find the blueprint width, we calculate (60 ft) x (2 cm / 5 ft) = 24 cm

Calculating the Length

For the length:

• Actual length = 75 feet
• Scale = 2 cm : 5 ft
• We setup the ratio as 2 cm / 5 ft
• To find the blueprint length, we calculate (75 ft) x (2 cm / 5 ft) = 30 cm

Therefore, on Alexandra's blueprint, the width of the house is 24 centimeters and the length is 30 centimeters.