Question

The perimeter of rectangular pond is 100m. If the length of the pond is greater than breadth by 10m, what will be its area? *




a. 560



b. 650



c. 600



d. 500


46. If a:b=c:d then (a+c):(b+d)=a:b=c:d is called ….. *




a. dividendo



b. componendo



c. alternendo



d. addendo

Answer 1

1) 600

2) Componendo

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Answer 2

Answer:

600m^2

Step-by-step explanation:

Perimeter of pond = 100m

Let the length = x+10

and breadth = x

∴ Perimeter of rectangular pond = 2( L+B )

100m = 2( x+10+x )

100m = 2( 2x+10 )

100m = 4x+20

4x = 100-20

4x = 80

x = 80/4

x = 20

∴

Length = (x+10)

⇒20+10

⇒30m

and Breadth

⇒20m

Now the area of rectangular pond

in which length=30m and breadth=20m

∴

Area of rectangular pond = length×breadth

Area of rectangular pond = 30m×20m

Area of rectangular pond = 600m^2