CBSE Class 10 Maths (Basic) 2022 · Paper 430/6/1 · Question 14

Quadratic Equations 4 marks Medium

Ramesh, a farmer, wishes to fence off his rectangular field of given area

1500 m^{2}

. The length of the field lies along a straight river. A wire of length

110 m

is required for the fencing assuming that along the river, no fencing is needed for the field.

Rectangular field with the side x along the river (unfenced)

aWrite the perimeter and the area of the rectangular field in terms of 'x' and 'y'.[2]
bWhat are the dimensions of the rectangular field ?[2]

Answer

Perimeter

= 2 (x + y)

, Area

= x y = 1500 m^{2}

. Dimensions:

50 m \times 30 m

60 m \times 25 m

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