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2 years ago

8

Corresponding part of trapezoids?

1 answer:

Mariulka [41]2 years ago

8 0

Angle A corresponds to angle D,
angle B corresponds to angle C.

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Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square ya

saul85 [17]

For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:

$A = a * b$

Where:

a: It is the length of the rectangle

b: It is the width of the rectangle

According to the problem data we have to:

$b =\frac {5}{8} \yard\\A = \frac {5} {16} \ yards ^ 2$

Substituting:

$\frac {5} {16} = a * \frac {5} {8}$

We clear "a":

$a = \frac {\frac {5} {16}} {\frac {5} {8}}\\a = \frac {5 * 8} {16 * 5}\\a = \frac {8} {16}\\a = \frac {1} {2}$

Thus, the length of the fabric is $\frac {1} {2} yards.$

ANswer:

The length of the fabric is $\frac {1} {2} yards.$

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