Question

a parallelogram has an area of 28 square units. which dimensions could it have? select all the correct answers. a base = 10 units, height = 18 units b base = 7 units, height = 4 units c base = 2 units, height = 14 units d base = 14 units, height = 14 units e base = 8 units, height = 3.5 units

Explanation:

Step1: Recall area formula

The area formula of a parallelogram is $A = b\times h$, where $A$ is the area, $b$ is the base and $h$ is the height.

Step2: Check option A

For $b = 10$ and $h=18$, $A=10\times18 = 180
eq28$.

Step3: Check option B

For $b = 7$ and $h = 4$, $A=7\times4=28$.

Step4: Check option C

For $b = 2$ and $h = 14$, $A=2\times14 = 28$.

Step5: Check option D

For $b = 14$ and $h = 14$, $A=14\times14=196
eq28$.

Step6: Check option E

For $b = 8$ and $h = 3.5$, $A=8\times3.5=28$.

Answer:

B. base = 7 units, height = 4 units
C. base = 2 units, height = 14 units
E. base = 8 units, height = 3.5 units