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meriva
3 years ago
10

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

Mathematics
2 answers:
kvv77 [185]3 years ago
5 0
I hope this helps you

Mekhanik [1.2K]3 years ago
5 0
ANSWER

DA = 4inches

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 \times 19

46= 2w+ 38

46 - 38= 2w

8= 2w

4= w

DA is the width of the parallelogram, therefore
DA = 4inches
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