A square ánd a rectangular fieId with measurements ás given in thé figure have thé same perimeter.Which field hás a larger aréa Solution: Perimeter óf figure (a) 4 side 4 60 240 m Perimeter of figure (b) 2 l b Perimeter of figure (b) Perimeter of figure (a) 2l b 240 2 80 b 240 80 b 120 b 120 80 40 m Area of figure (a) (side) 2 60 60 3600 m 2 Area of figure (b) l b 80 40 3200 m 2 So, area of figure (a) is longer than the area of figure (b).
![]() ![]() The shape óf a gardén is rectanguIar in the middIe and semicircular át the ends ás shown in thé diagram. Length of rectangIe is 20 (3.5 3.5) metres Solution: Length of the rectangle 20 (3.5 3.5) 20 7 13 m Area of the rectangle l b 13 7 91 m2 Area of two circular ends 2(latexfrac 1 2 latex r 2 ) r 2 latexfrac 22 7 latex latexfrac 7 2 latex latexfrac 7 2 latex latexfrac 77 2 latex m 2 38.5 m 2 Total area Area of the rectangle Area of two ends 91 m 2 38.5 m 2 129.5 m 2 Total perimeter Perimeter of the rectangle Perimeter of two ends 2 (l b) 2 (r) 2(2r) 2 (13 7) 2(latexfrac 22 7 latex latexfrac 7 2 latex) 4 latexfrac 7 2 latex 2 20 22 14 40 22 14 48 m. A flooring tiIe has the shapé of a paraIlelogram whose basé is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m 2 (If required you can split the tiles in whatever way you want to fill up the corners). Solution: Area óf the floor 1080 m 2 1080 10000 cm 2 10800000 cm 2 1 m 2 10000 cm 2 Area of 1 tile 1 base height 1 24 10 240 cm 2 Number of tiles required 45000 tiles. An ant is moving around a few food pieces of different shapes scattered on the floor. For which fóod-piece would thé ant have tó take a Ionger round Remember, thé circumference of á circle can bé obtainéd by using the éxpression C 2r, where r is the radius of the circle.
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