Question

The area of a trapezium is 34 cm2 and length of one of its parallel sides is 10cm and height is 4cm. Find the length of the other parallel side​

Answer 1

Length of the other parallel side is 7 cm

Step-by-step explanation:

We Have :-

Trapezium -

Area = 34 cm²

Length of one parallel side = 10 cm

Height = 4 cm

To Find :-

Length of other parallel side

Formula Used :-

$area \: of \: trapezium \: = \: \dfrac{1}{2} \times ( \: sum \: of \: parallel \: sides \: ) \times height$

Solution :-

$area \: of \: trapezium \: = \: \dfrac{1}{2} \times ( \: sum \: of \: parallel \: sides \: ) \times height \\ \\ area \: = \: \dfrac{1}{2} \times ( \: 10 + x \: ) \times 4 \\ \\ 34 \: = \: \dfrac{1}{2} \times ( \: 10 + x \: ) \times 4 \\ \\ \dfrac{34 \times 2}{4} = 10 + x \\ \\ 17 = 10 + x \\ \\ x = 7 \: cm$

Length of the other parallel side is 7 cm

Answer 2

$\huge \bigstar$$\huge\bold{\mathtt{\purple{A{\pink{N{\green{S{\blue{W{\red{E{\orange{R}}}}}}}}}}}}}$$\huge \Rightarrow$

$\bold {Given:}$

Area of trapezium $\large \Rightarrow$ 34cm²

length of one side $\large \Rightarrow$ 10 cm.

height $\large \Rightarrow$ 4 cm.

$\bold {To\:Find}$

length of other side of trapezium.

$\Large \bold \red{Solution}\Rightarrow$

Let the second side be $x$

$Area \: of \: trapezium = \frac{1}{2} \times (sum \: of \: parallel \: sides)\times height \\ \\Area = \frac{1}{2} ×(10+x)×4 \\ \\34 = \frac{1}{2} \times(10+x)\times 4 \\ \\ \frac{34\times 2}{4} = 10+x \\ \\ \frac{68}{4} = 10+x \\ \\ \sf \dfrac{\cancel{68}{ \: 17}}{\cancel{4}} = 10+x \\ \\ 17 = 10 + x \\ \\ x= 17-10 \\ \\ x = 7 cm$

The length of the other side is 7 cm.