Question

Find the area of the trapezium with height 7 cm and length of the
parallel sides 2 cm and 8 cm.

Answer 1

Answer:

Given:

Area of the trapezium =91 cm

2

Height =7 cm

Let the length of the smaller side be x.

Then, the length of the longer side will be 8 more than the smaller side, i.e. 8+x.

Area of trapezium =

2

1

×(Sum of the parallel sides)×(Height)

⇒91=

2

1

×[(8+x)+x]×(7)

⇒91=

2

7

×[8+x+x]

⇒91×2=7×[8+2x]

⇒7×[8+2x]=182

⇒[8+2x]=

7

182

=26

⇒8+2x=26

⇒2x=26−8=18

⇒x=

2

18

=9 cm

∴ Length of the shorter side of the trapezium =9 cm

And, length of the longer side =8+x=8+9=17 cm

17+9=26 Ans

Step-by-step explanation:

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