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Perimeter and Area

Question
CBSEENMA7000930

The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find

(i) its area

(ii)the cost of the land, if 1 m2 of the land costs Rs 10,000.

Solution

(i) Area = Length × Breadth

= 500 × 300

= 150000 m2

(ii)Cost of 1 m2 land = Rs 10000

Cost of 150000 m2 land = 10000 × 150000 = Rs 1500000000

Question
CBSEENMA7000931

Find the area of a square park whose perimeter is 320 m.

Solution

Perimeter = 320 m

4 × Length of the side of park = 320

Length of the side of park = 3204=80 m

Area = (Length of the side of park)2 = (80)2 = 6400 m2

Question
CBSEENMA7000932

Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.

Solution

Area = Length × Breadth = 440 m2

22 × Breadth = 440

Breadth =44022= 20 m

Perimeter = 2 (Length + Breadth)

= 2 (22 + 20) = 2 (42) = 84 m2

Question
CBSEENMA7000933

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

Solution

Perimeter = 2 (Length + Breadth) = 100 cm

2 (35 + Breadth) = 100

35 + B = 50

B = 50 − 35 = 15 cm

Area = Length × Breadth = 35 × 15 = 525 cm2