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in Perimeter and Area by (48.7k points)
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Find the areas and perimeters of the following rectangular figures. Which of them have same perimeter but different area?

1 Answer

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Best answer

(i) l = 40 cm, b = 15 cm 

Perimeter = 2 (l + b) 

= 2 (40 + 15) = 2 (55) = 110 cm 

Area = l × b = 40 × 15 = 600 sq. cm 

(ii) l = 45 cm, b = 20 cm 

Perimeter = 2 (l + b) 

= 2 (45 + 20) = 2 × 65 = 130 cm 

Area = l × b = 45 × 20 = 900 sq. cm 

(iii) l = 8 cm, b = 7 cm 

Perimeter = 2 (l + b) = 2 (8 + 7) 

= 2 (15) = 30 cm 

Area = l × b = 8 × 7 = 56 sq. cm 

(iv) l = 10 cm, b = 5 cm 

Perimeter = 2 (l + b) 

= 2 (10 + 5) = 2 × 15 = 30 cm 

Area = l × b = 10 × 5 = 50 sq. cm 

Rectangles with same perimeter = (iii) and (iv) 

No. rectangle is same in area Thus, rectangle (iii) and (iv) have same perimeter and different area.

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