Question

The area of a trapezium is 176 sq.cm and the distance between its two parallel sides is 8 cm if one of its parallel sides is longer than the other side by 10 cm find the lenth its parallel side

Answer 1

We know that,

Area of a trapezium= 1/2 × height × (sum of parallel sides)

Given ......
Area of trapezium= 176cm²
Distance between it's two parallel sides i.e Height = 8cm

let 1st side be x

According to question,

It's second side will be = x+10

176cm²= 1/2×8cm (x+(x+10))
176cm= 4(2x+10)
176/4= 2(x+5)
176/8= x+5
22= x+5
22-5= x
x= 17

thus,
length of 1st side = x= 17cm
The length of the 2nd side = x+10= 27 cm

Hope this helps you....✌

Answer 2

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