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the area of a trapezoid is 780cm ifits height is 30cm and one of the bases is 20cm what the length of the other bases​

Sagot :

Kenjinxidn

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[tex]\rm{\huge{ANSWER:}}[/tex]

[tex]\bold{\red{GIVEN}}[/tex]

  • Area of the trapezoid = 780 cm²
  • Height of the trapezoid = 30 cm
  • One base of the trapezoid = 20 cm

[tex]\bold{\red{FORMULA}}[/tex]

  • Area = ([tex]\large{\frac{1}{2}}[/tex]) x (sum of the bases) x height

[tex]\bold{\red{SUBSTITUTE}}[/tex]

  • 780 = ([tex]\large{\frac{1}{2}}[/tex]) x (20 + b) x 30

[tex]\bold{\red{SOLVE~FOR~B}}[/tex]

  • 780 = 300 + 15b
  • 480 = 15b
  • b = 32cm

[tex]\bold{\red{CONCLUSION}}[/tex]

  • The length of the other base of the trapezoid is [tex]\underline{\large\sf\red{32 ~cm}}[/tex].

[tex]\sf\small{╰─▸ ❝ @[kenjinx]}[/tex]

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