Question

1. The area of a trapezoid is 52 sq. cm. and the bases are 11 cm. and 15 cm. Find the height.​

Answer 1

Question :

The area of a trapezoid is 52 sq. cm. and the bases are 11 cm. and 15 cm. Find the height .

Answer :

$\sf\pink{Given:}$

• Area of trapezoid is 52 cm² .

• Bases are 11 cm and 15 cm .

$\sf\pink{To\:find:}$

• Height of the trapezoid ?

Explanation :

Area of Trapezium = $\sf{\dfrax{1}{2}\times ( a + b )\times h}$

$\\ \longrightarrow\sf{ 52 = \dfrac{1}{2}\times ( 11 + 15 )\times h }$

$\\ \longrightarrow\sf{ 52 = \dfrac{1}{2}\times 26\times h }$

$\\ \longrightarrow\sf{ 52 = 13\times h }$

$\\ \longrightarrow\sf{h = \dfrac{52}{13} }$

$\\ \longrightarrow\sf{h = 4 }$

Therefore the height is 4 cm .