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?

10 in.

Step-by-step 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.

The other diagonal has length 10 in.

Answer is provided in the image attached.

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mr. india