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  • 09-02-2021
  • Mathematics
contestada

A trapezoid has an area of 40 square feet. It also has a base of 6 feet and 10
another base of 4 feet. What is the height?"

Respuesta :

ImBidoof
ImBidoof ImBidoof
  • 11-02-2021

Answer:

[tex]h = 8 \: ft[/tex]

Step-by-step explanation:

Height of trapezoid formula:

[tex]h = 2 \times \frac{area}{a + b} [/tex]

Given:

Area: 40 square feet

a: 6 feet

b:4 feet

Using the given information,

[tex]h = 2 \times \frac{40}{6 + 4} [/tex]

Add the numbers in the denominator

[tex]h = 2 \times \frac{40}{10} [/tex]

Reduce the fraction with 10

[tex]h = 2 \times 4[/tex]

Answer:

[tex]h = 8 \: feet[/tex]

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