Question

sita devi wants to make a rectangular pond on the road side for the purpose of providing drinking water for street animals. The area of pond will be decreased by 3 square feet if the length is decreased by 2 feet and breadth is increased by 1 feet. Its area will be increased by 4 square feet, if the length is increased by 1 feet and the breadth remains same. Find the dimensions of the pond​

Answer 1

Answer:

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Answer 2

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• Sita devi wants to make a rectangular pond on the road side for the purpose of providing drinking water for street animals. The area of pond will be decreased by 3 square feet if the length is decreased by 2 feet and breadth is increased by 1 feet. Its area will be increased by 4 square feet, if the length is increased by 1 feet and the breadth remains same. Find the dimensions of the pond.

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☯Define x and y.

➙Let x be the length of the pond.

➙Let y be the breadth of the pond.

☯Find the area of the pond:

➙Area of the pond = Length x Breadth.

➙Area of the pond = xy.

☯If length is decreased by 2 ft and breadth increased by 1 ft.

➙Area = (x–2) (y+1)

☯The area is decreased by 3 ft².

➙xy–(x–2) (y+1)=3

➙xy–(xy+x–2y–2) =3

➙xy–(xy+x–2y–2) =3

➙xy–xy–x+2y+2 =3

➙2y–x–1=0.

☯If the length is decreased by 1 and the breadth remained the same.

➙Area= (x + 1)y

☯The area is increased by 4 ft².

➙(x+1)y– xy =4

➙xy+y–xy=4

➙y=4 ft.

☯Solve for x:

➙Sub y= 4 into 2y –x –1= 0

➙2(4)–x–1=0

➙8–x–1=0

➙7–x=0.

➙x=7 ft.

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