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Dima020 [189]
3 years ago
13

A trapezoid has a set of parallel bases with lengths 3 inches and 5 inches and a helght of 8 inches. What is the area

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

The area of trapezoid is 32 inches^2

Step-by-step explanation:

Parallel base 1 = a = 3 inches

Parallel base 2 = b = 5 inches

Height of trapezoid = 8 inches

We need to find area of trapezoid

The formula used is: Area\:of\:trapezoid=\frac{a+b}{2}\times h

Now putting the values and finding area of trapezoid

Area\:of\:trapezoid=\frac{a+b}{2}\times h\\Area\:of\:trapezoid=\frac{5+3}{2}\times 8\\Area\:of\:trapezoid=\frac{8}{2}\times 8\\Area\:of\:trapezoid=4\times 8\\Area\:of\:trapezoid=32

So, the area of trapezoid is 32 inches^2

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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let one of the integers be x,

other one = 2x - 2

now, according to question :

  • {x}^{2}  + (2x - 2) {}^{2}  = 628

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now, since the Integers are positive so the value obtained from (5x + 52) = 0 can't hold true.

so, x - 12 = 0

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the first number is :

  • x = 12

second number is :

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  • (2 \times 12) - 2

  • 24 - 2

  • 22
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