Question

Brianna won aparallelogram-shapedtrophy. She knows the areaof a parallelogram is735 cm² and that its base is35 cm. What is the trophy'sheight?

Answer 1

Given in the question:

a.) The area of a parallelogram is 735 cm².

b.) Its base is 35 cm.

Let's draw the figure to better understand the problem.

To be able to determine the height of the trophy, let's first recall the formula in getting the area of a parallelogram:

`\text{ A = l x w = b x h}`

Where,

b = base = 35 cm

h = height

A = area = 735 cm²

We get,

`\text{ A = bh}`
`\text{ h = }(A)/(b)`
`\text{ h = }(735)/(35)`
`\text{ h = 21 cm}`

Therefore, the height of the trophy is 21 cm.