Calculate Parallelogram Height AE Using Area = 40 cm² and Base = 8 units

Question

Look at the parallelogram in the figure below.

Its area is equal to 40 cm².

Calculate AE.

888AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Find AE
00:04 Opposite sides are equal in parallelograms
00:21 We'll use the formula to calculate the area of a parallelogram
00:24 side(CD) multiplied by height (AE)
00:33 We'll substitute appropriate values and solve for AE
00:49 And this is the solution to the question

Step-by-Step Solution

We are told that ABCD is a parallelogram,AB=CD=8 AB=CD=8 According to the properties of a parallelogram, each pair of opposite sides are equal and parallel.

Hence to find AE we will need to use the area given to us in the formula in order to determine the area of the parallelogram:

S=DC×AE S=DC\times AE

40=8×AE 40=8\times AE

We divide both sides of the equation by 8:

8AE:8=40:8 8AE:8=40:8

AE=5 AE=5

Answer

5 5 cm