The area of a rhombus is 49 square millimeters. if one diagonal is twice as long as the other, what are the lengths of the diagonals?

The answer is:

The lengths of the diagonals are:

To solve the problem, we need to use the formula to calculate the area of a rhombus involving its diagonals and create a relation between the diagonals of the given rhombus.

So, from the statement we know that:

We need to use the following formula

Then,

Substituting and calculating we have:

We have that:

So, calculating the length of the diagonal 1, we have:

Hence, we have that the answers are:

Have a nice day!

The lengths of the diagonals are 7 mm and 14 mm

Step-by-step explanation:

we know that

To find the area of a rhombus, multiply the lengths of the two diagonals and divide by 2

Let

x-------> the length of one diagonal

y -----> gthe length of the another diagonal

The area of a rhombus is equal to

we have

so

-----> equation A

--------> equation B

substitute equatiin B in equation A and solve for y

Find the value of x

therefore

The lengths of the diagonals are 7 mm and 14 mm

step-by-step explanation:

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