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3 years ago

Find the length of a rectangle with a perimeter of 148 inches and width of 36 inches. inches

Mathematics

2 answers:

melamori03 [73]3 years ago

7 0

<h3>Given :-</h3>

Width of rectangle = 36 inches
Perimeter of rectangle = 148 inches.

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Length of rectangle

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<h3>Solution:-</h3>

We know:-

$\bigstar \boxed{ \rm Perimeter \: of \: rectangle = 2(length + width)}$

$\\$

So:-

$\\$

$\dashrightarrow \sf 148 = 2(length + 36) \\$

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$\dashrightarrow \sf 148 = 2(length) + 2(36) \\$

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$\dashrightarrow \sf 148 = 2(length) + 2 \times 36 \\$

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$\dashrightarrow \sf 148 = 2(length) + 72 \\$

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$\dashrightarrow \sf 148 = 2length + 72 \\$

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$\dashrightarrow \sf 148 - 72= 2length \\$

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$\dashrightarrow \sf76= 2length \\$

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$\dashrightarrow \sf 2length = 76 \\$

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$\dashrightarrow \sf length = \dfrac{76}{2} \\$

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$\dashrightarrow \sf length = \cancel \dfrac{76}{2} \\$

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$\dashrightarrow \bf length = 38 \: inches$

Alexeev081 [22]3 years ago

6 0

Answer:

Perimeter of rectangle = 2L + 2W

2L + 2 * 36 = 148

2L = 148 - 72

2L = 76

L = 38 inches

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