Question

The area of a trapezium is 34 cm and the length of one of the parallel sides is 10 cm and its height is
4 cm. Find the length of the other parallel sides.
Disnlay th
data in​

Answer 1

Answer:

EASY LET ME SHOW YOU

Step-by-step explanation:

Area of trapezium=34cm  ^2

=>Area of trapezium=  1/2*L1+L2*H

=>34=1/2*(10+x)*4

=>34=1/2*(40+4x)

=>34=20+2x

=>x=7

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Answer 2

$\huge{\underline{\underline{\boxed{\sf{\purple{Answer࿐}}}}}}$

Area of trapeium = 34cm²

Length of parallel side=10 cm

Height=4cm

Let the length of other side be "x" cm

$\sf Area = \frac{1}{2}\left(sum\ of\ parallel\ sides\right)\times\left(dis\tan ce\ between\ them\right)$

$\sf \dashrightarrow \:34=\frac{1}{2}\left(10+x\right)\left(4\right) \\ \\ \sf \dashrightarrow \:34=\frac{1}{2}\times\left(40+4x\right) \\ \\\sf \dashrightarrow \: 34=20+2x \\ \\\sf \dashrightarrow \: 2x=34-20 \\ \\\sf \dashrightarrow \: 2x=14 \\ \\ \dashrightarrow \pmb { \red { \boxed{x=7 cm}}}$

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