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Andrej [43]
3 years ago
5

A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?

Mathematics
2 answers:
fredd [130]3 years ago
7 0

Answer:

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

skad [1K]3 years ago
5 0

Answer:

<h2>5.3in</h2>

Step-by-step explanation:

The formula of a perimeter of a rectangle:

P=2(l+w)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em />

We have

P=35.8in\\l=12.6in

Substitute:

35.8=2(12.6+w)       <em>divide both sides by 2</em>

<em />\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}<em />

<em />17.9=12.6+w<em>       subtract 12.6 from both sides</em>

17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)

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