Question

The longer side of the parallel sides of an isosceles trapezium is 6 cm. and the
distance between two parallel sides is 4cm. If the area of the trapezium is 23 sq. cm.
then find the length of other parallel side.
a) 5.5 cm.
b) 6.5 cm.
c) 4.5 cm.
d) 4 cm​

Answer 1

$\fcolorbox{red}{yellow}{Answer:-}$

Option A) 5.5 cm

Step By Step Explaination :-

• Longer Parallel Side (a) = 6 cm
• Height (h) = 4 cm
• Area = 23 cm²
• Shorter Parallel Side (b) = ?

Area Of Trapezium :-

$\huge\color{blue}{\frac{1}{2}(a + b)h}$

Lets Put The Values :-

$=> \frac{1}{2}(6 + b)4 = 23 \\ =>(6+b)2 = 23 \\ => 12 + 2b = 23 \\ =>2b = 23 - 12 \\ => 2b = 11 \\ => b = \frac{11}{2} \\ => \boxed{b=5.5 cm}$

Hope it helped