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What is the area of the trapezoid?​

What Is The Area Of The Trapezoid class=

Sagot :

AREA OF A TRAPEZOID

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Problem

  • the trapezoid bases are 7.5cm and 10.5cm it's height is 5cm what is the area of trapezoid

Solution

The area of a trapezoid is found where 'a' and 'b' are the bases and 'h' is the height using the formula,

  • [tex]\bold{Formula\:||\:A = \frac{a+b}{2}h}[/tex]
  • [tex]\bold{A=\frac{7.5\:cm+10.5\:cm}{2}(5\:cm)}[/tex]

'Multiply the sum of the parallel sides by the perpendicular distance between the bases and then divide by 2.

  • [tex]\tt{A = \frac{a+b}{2}(h)}[/tex]
  • [tex]\tt{A = \frac{7.5\:cm+10.5\:cm}{2}(5\:cm)}[/tex]
  • [tex]\tt{A = (\frac{18\:cm}{2}) (5\:cm) }[/tex]
  • [tex]\tt\green{A = 45\:cm²}[/tex]

Final Answer

  • The area of trapezoid is 45 centimeter²
  • Option B.

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✒AREA OF A TRAPEZOID

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SOLUTION:

[tex] \sf{The \: area \: of \: the \: trapeziod}[/tex]

[tex] \sf{A = (The \: top + The \: bottom) \times h \times \frac{1}{2} }[/tex]

[tex] \sf{A = (7.5 + 10.5) \times 5 \times \frac{1}{2} }[/tex]

[tex] \sf{A = 18 \times 5 \times \frac{1}{2} }[/tex]

[tex] \sf{A = 90 \times \frac{1}{2}}[/tex]

[tex] \sf{A = \boxed{ \sf{45 cm^{2} }}}[/tex]

ANSWER:

Therefore, the answer is option B. 45cm²

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