Question

Which of the following figures have an area greater than 40 square centimeters?

Select ALL that apply.
A. A triangle that has a base of 8 cm and height of 9 cm
B. A square that has a side length of 7 cm
C. A rectangle that has a base of 14 cm and height of 3 cm
D. A parallelogram that has a base of 5 cm and a height of 6 cm

Answer 1

To determine which figures have an area greater than 40 square centimeters, we need to calculate the area of each figure and compare it to 40 square centimeters.

A. Triangle with base of 8 cm and height of 9 cm:
Area = (1/2) x base x height = (1/2) x 8 cm x 9 cm = 36 square cm
The area is less than 40 square centimeters, so it does not satisfy the condition.

B. Square with side length of 7 cm:
Area = side length x side length = 7 cm x 7 cm = 49 square cm
The area is greater than 40 square centimeters, so it satisfies the condition.

C. Rectangle with base of 14 cm and height of 3 cm:
Area = base x height = 14 cm x 3 cm = 42 square cm
The area is greater than 40 square centimeters, so it satisfies the condition.

D. Parallelogram with base of 5 cm and height of 6 cm:
Area = base x height = 5 cm x 6 cm = 30 square cm
The area is less than 40 square centimeters, so it does not satisfy the condition.

Based on the calculations, the figures with areas greater than 40 square centimeters are:
- B. A square with a side length of 7 cm
- C. A rectangle with a base of 14 cm and height of 3 cm

Answer 2

To determine which figures have an area greater than 40 square centimeters, we need to calculate the area of each figure and compare it to 40 square centimeters. Let's calculate the area of each figure:

A. Triangle:

Area = (1/2) * base * height = (1/2) * 8 cm * 9 cm = 36 square centimeters

B. Square:

Area = side * side = 7 cm * 7 cm = 49 square centimeters

C. Rectangle:

Area = base * height = 14 cm * 3 cm = 42 square centimeters

D. Parallelogram:

Area = base * height = 5 cm * 6 cm = 30 square centimeters

So, options B and C have areas greater than 40 square centimeters.