Selina solutions

Selina solutions

Grade 6

Perimeter and Area of Plane Figures | Exercise 32(B)

Question 12

Q12)The side of a square field is 16 m. What will be increase in its area, if: (i) each of its sides is increased by 4 m (ii) each of its sides is doubled.

Solution 12:

Side of the square field (a) = 16 m

∴ Area of the square field = (a)²

= 16 × 16 = 256 m²

(i) each of its sides increased by 4 m

∴ New side = (16 + 4) m = 20 m

∴ New area of the square field = (a)²

= 20 × 20 = 400 m²

(ii) Each of its side is doubled

∴ New side = 16 × 2 = 32 m

∴ New area of the square field = (a)²

= 32 × 32 = 1024 m²

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subject-cta

Question 12

Q12)The side of a square field is 16 m. What will be increase in its area, if: (i) each of its sides is increased by 4 m (ii) each of its sides is doubled.

Solution 12:

Side of the square field (a) = 16 m

∴ Area of the square field = (a)²

= 16 × 16 = 256 m²

(i) each of its sides increased by 4 m

∴ New side = (16 + 4) m = 20 m

∴ New area of the square field = (a)²

= 20 × 20 = 400 m²

(ii) Each of its side is doubled

∴ New side = 16 × 2 = 32 m

∴ New area of the square field = (a)²

= 32 × 32 = 1024 m²

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subject-cta
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