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Kobotan [32]
3 years ago
13

The length of a rectangle is 2 centimeters more than five times the width. The perimeter is 114 inches. Find the width and the l

ength.
Mathematics
1 answer:
gogolik [260]3 years ago
7 0
1. Let L=length and W=width
2. L=5w+2
3. The perimeter can be solved as follows:
(5w+2) + (5w+2) + w + w = 114 in
12w + 4 = 114 in
12w = 110
w = 110/12
w = 9.17
L = 47.83
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Step-by-step explanation:

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Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

\angle ONP\cong \angle MNL       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

\angle NOP\cong \angle NML

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

\Delta ONP\sim \Delta MNL        (AA postulate)

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