Question

the area of a trapezium is 37.5 sq cm if the distance between its parallel sides is 3 cm and one of its parallel sides is 8 cm determine the length of the other side.

Answer 1

area of trapezium =1/2* (sum of parallel sides )*
height
37.5 =1/2*(8+other side)*3
8+other side =37.5*2/3
other side =25-8
=17

Answer 2

The length of the other side is 17 m

Step-by-step explanation:

Let the length of the other side be x

Distance between its parallel sides h = 3 cm

One of its parallel sides is 8 cm

Area of trap. =$\frac{1}{2}(\text{Sum of parallel sides}) \times height$

Area of trap.=$\frac{1}{2}(x+8)3$

We are given that the area of a trap. is 37.5 sq cm

So,$\frac{1}{2}(x+8)3=37.5$

$(x+8)3=37.5 \times 2$

$(x+8)=\frac{37.5 \times 2}{3}$

$(x+8)=25$

$x=25-8$

$x=17$

Hence the length of the other side is 17 m

#Learn more:

The area of a trap. is 176 cm . The distance between its parallel sides is 8 cm and one of the parallel sides is of length 10 cm. find the length of the other side

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