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The area of a rhombus is 40 in. If

one diagonal of the rhombus is 8 in,
what is the length of the other
diagonal?

User Nycynik
by
7.0k points

2 Answers

6 votes

Answer:

10 in.

Explanation:

The area of a rhombus is the product of the lengths of the diagonals divided by 2.

Let the diagonals be x and y.

area = xy/2

Here you have

area = 40 in.^2

x = 8 in.

We are looking for y, the other diagonal.

xy/2 = area

(8 in.)y/2 = 40 in.^2

(8 in.)y = 80 in.^2

y = 10 in.

Answer: The other diagonal has length 10 in.

User Ruam Pimentel
by
7.8k points
6 votes

Answer is provided in the image attached.

The area of a rhombus is 40 in. If one diagonal of the rhombus is 8 in, what is the-example-1
User Evan Powell
by
7.7k points

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