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I am Lyosha [343]
3 years ago
15

Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The

new length is 4 inches. What is its new width?
Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

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IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

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\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5

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