Question

The perimeter of parallelogram ABCD is 46 inches. What is DA?

3 in.
4 in.
8 in.
19 in.

Answer 1

ANSWER


`DA = 4inches`

Step-by-step explanation

The perimeter of a parallelogram is given by the formula,


`perimeter = 2w + 2l`

It is the same as that of the rectangle.

We were given that the perimeter is 46 inches. So now we need to determine the length of the parallelogram using the equation


`8 x - 5 = 3x + 10`
The reason is that, the opposite sides of a parallelogram are equal.

We solve the equation for x to obtain,


`8x - 3x = 10 + 5`

This means that,


`5x = 15`

Dividing through by 5, we obtain,


`x = 3inches`

Meaning the length is


`3(3) + 10 = 19inches`

We now plug in


`l=19,perimeter=46`

into


`perimeter = 2w + 2l`

to get,


`46= 2w+ 2 * 19`


`46= 2w+ 38`


`46 - 38= 2w`


`8= 2w`


`4= w`

DA is the width of the parallelogram, therefore

`DA = 4inches`

Answer 2

I hope this helps you