Question

THE AREA OF TRAPEZIUM IS 360M^2,THE DISTANCE BETWEEN TWO PARALLEL SIDE IS 20M AND ONE OF THE PARALLEL SIDE IS 25M. FIND THE OTHER PARALLEL

Answer 1

Correct question:-

The area of a trapezium is 360m²,the distance between two parallel sides is 20m and one of the parallel side is 25m. Find the other parallel side.

Given:-

→Area of a trapezium=360m²

→Distance between parallel sides=20m

→One of the parallel sides=25m

To find:-

→Other parallel side

Solution:-

Here,area of the trapezium,distance between the parallel sides i.e. height of the trapezium and one parallel side is given. In order to find another parallel side , we shall firstly know the formula to find area of a trapezium.

Area of a trapezium:-

=>1/2×(sum of parallel sides)×

(Distance between them)

Let the required side be x

=>1/2×(25+x)×20= 360

=>10(25+x)=360

=>250+10x=360

=>10x=360-250

=>10x=110

=>x=110/10

=>x=11

Thus,the other parallel side is 11m.

Answer 2

$\huge \bold \color{green} \mid{ \underline{ \underline \orange{question}}} \mid$

the area of trapezium is 360m² the distance between two parallel side is 20m and one of the parallel side is 25m ..find the other parallel side..

$\huge \bold \color{green} \mid{ \underline{ \underline \red{answer}}} \mid$

$\bold{ \underline{ \underline {given : }}}$

• distance between two parallel side,h = 20m
• one parallel side ,a = 25m
• area of trapezium ,a = 360m²

$\bold{ \underline{ \underline{to \: find : }}}$

• other side of trapezium,b = ??

we know that..

$\bold{area \: of \: trapezium = \frac{1}{2} (a + b) \times h}$

$\bold{\implies \: 360 = \frac{1}{2} (25 + b) \times 20} \: \: \: \\\ \bold{ \implies \bold{ 360 = 10(25 + b) } \: \: \: \: \: \: \: \: \: \: \: } \: \: \: \:\\ \bold{ \implies 36 = 25 + b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \bold{ \implies \: b = 36 - 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \bold{\implies \: b = 11 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

so other side of trapezium is 11m