Area Perimeter and Volume with Shapes

A scale factor of 1/2 is used to change the dimensions of a rectangle with a length of 7 centimeters and a width of 5 centimeters. What is the perimeter of the resulting rectangle?

• 12

• 35

• 24

• 38

Which of the following are 2-dimensional measurements? Select all that apply.

• Length of rope

• Volume of a cylinder

• Area of a square

• Area of a triangle

• Perimeter of a rectangle

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

• The area will be half as big.

• The area will be twice as large.

• The area will be 4 times larger.

• The area will be 8 times larger.

• The area will not change.

The dimensions of a rectangular photo are 3.5 in. x 5 in. The dimensions of the photo are enlarged by a scale factor of 2.5. What is the perimeter of the new photo?

• 17.7 in²

• 8.75 in. X 12.5 in.

• 42.5 in.

• There is not enough information.

What will be true about this rectangle if you use a scale factor of 1/2 to change the dimensions? Select all that apply.

• The new length is 16 in.

• The new perimeter is 11 in.

• The new perimeter is 21 in.

• The new width is 1.5 in.

• The new length is 4 in.

If the length of one side of a square is 5 cm, what is the area of the square?

• 25 square cm

• 30 square cm

• 20 square cm

• 10 square cm

Find the area of the given figure. (Figure with multiple rectangles and squares)

• The length of the longest side of the figure

• The sum of the areas of all the rectangles and squares in the figure.

• The volume of the figure

• The perimeter of the figure

Calculate the total area of the composite figure shown. (Figure with a combination of rectangles and triangles)

• The answer will depend on the specific measurements of the composite figure.

• The total area is impossible to calculate

• The total area is always 100 square units

• The total area is equal to the sum of the areas of all the shapes

Determine the area of the shaded region in the composite figure. (Figure with overlapping shapes)

• The area of the shaded region is the average of the areas of all the individual shapes

• The area of the shaded region is the sum of the areas of all the individual shapes

• The area of the shaded region is the same as the area of the largest individual shape

• The correct answer for the area of the shaded region in the composite figure is the calculated value after subtracting the area of the overlapping portion from the sum of the areas of all the individual shapes.

Find the area of the given L-shaped figure. (Figure with an L-shaped combination of rectangles)

• The area of the L-shaped figure is the sum of the areas of the two rectangles without subtracting the overlapping area

• The area of the L-shaped figure is the area of the smaller rectangle only

• The correct answer for the area of the L-shaped figure is the sum of the areas of the two rectangles minus the overlapping area.

• The area of the L-shaped figure is the area of the larger rectangle only