Question

answer of 2nd question
Pls solve fully

Answer 1

Let one side be x

Other side=x+8

Area=1/2h(a+b)

=1/2*7(x+x+8)=91

1/2*7(2x+8)=91

1/2*7*2(x+4)=91

7(x+4)=91

7x+28=91

7x=91-28

7x=63

x=9

Therefore one side=9dm

Other side=17dm.

Answer 2

Given,Area of trapezium = 91 dm^2.

Given,height = 7 dm.

Let the length of one parallel side is 'x'. Then the other side is x + 8 cm.

We know that Area of trapezium =  (1/2) * (Sum of bases) * (Height).

⇒ 91 = (1/2) * (x + x + 8) * (7)

⇒ 91 = (1/2) * (2x + 8) cm * 7

⇒ 91 * 2 = (2x + 8) cm * 7

⇒ 182 = 14x + 56

⇒ 182 - 56 = 14x

⇒ 126 = 14x

⇒ x = 9.

Then,

⇒ x + 8

⇒ 17.

Therefore,

⇒ The two parallel sides are 9 dm and 17 dm.

Hope it helps!