Task Sets: Solve problems involving scale drawings of geometric figures - Common Core Math - Grade 7

Recall / Warm-Up

Which statement correctly describes the ratio 3 : 7?

For every 3 of one quantity there are 7 of another quantity.

The first quantity is 7 times as large as the second quantity.

The two quantities are equal.

The second quantity is 3 more than the first quantity.

Solve the proportion: $\frac{1}{5} = \frac{x}{20}$ . What is $x$ ?

What is the area of a rectangle with length 6 cm and width 4 cm?

10 cm²

20 cm²

24 cm²

48 cm²

$Proportion table with two rows: 1 cm corresponds to 5 m, and 4 cm corresponds to an unknown actual length.$

A scale drawing uses the scale 1 cm : 5 m. A room measures 4 cm long on the drawing.

What is the actual length of the room in meters?

A floor plan uses the scale 1 in : 8 ft. An actual wall is 24 ft long.

How many inches long is the wall on the floor plan?

A scale drawing uses the scale 1 cm : 3 m. A room measures 4.5 cm on the drawing.

Which proportion correctly sets up the calculation for the actual length?

$\dfrac{1 \text{ cm}}{3 \text{ m}} = \dfrac{4.5 \text{ cm}}{? \text{ m}}$

$\dfrac{3 \text{ m}}{1 \text{ cm}} = \dfrac{4.5 \text{ m}}{? \text{ cm}}$

$\dfrac{1}{3} = \dfrac{?}{4.5}$

$\dfrac{1 \text{ cm}}{4.5 \text{ cm}} = \dfrac{3 \text{ m}}{? \text{ m}}$

A city map uses the scale 2 cm : 7 km. Two landmarks are 8 cm apart on the map.

What is the actual distance between the landmarks in kilometers?

A scale drawing uses the scale 1 cm : 10 m. A rectangular room on the drawing is 5 cm long and 3 cm wide.

What is the actual area of the room in square meters?