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Ex 4.3

Ex 4.3, 1 (i)
Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (ii) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iii) Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iv) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 2 (i)

Ex 4.3, 2 (ii)

Ex 4.3, 2 (iii)

Ex 4.3, 2 (iv) Important

Ex 4.3, 3 (i) Important

Ex 4.3, 3 (ii)

Ex 4.3, 4

Ex 4.3, 5

Ex 4.3, 6

Ex 4.3, 7 Important

Ex 4.3, 8 Important

Ex 4.3, 9 Important

Ex 4.3, 10 Important

Ex 4.3, 11 You are here

Chapter 4 Class 10 Quadratic Equations

Serial order wise

Last updated at March 28, 2023 by Teachoo

Ex 4.3 ,11 Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares. Let side of square 1 be x metres Perimeter of square 1 = 4 × Side = 4x Now, it is given that Difference of perimeter of squares is 24 m Perimeter of square 1 – Perimeter of square 2 = 24 4x – perimeter of square 2 = 24 4x – 24 = perimeter of square 2 Perimeter of square 2 = 4x – 24 Now, Perimeter of square 2 = 4x – 24 4 × (Side of square 2 ) = 4x – 24 Side of square 2 = (4𝑥 − 24)/4 = (4(𝑥 − 6))/4 = x – 6 Hence, Side of square 1 is x & Side of square 2 is x – 6 Also, given that Sum of area of square is 468 m2 Area of square 1 + Area of square 2 = 468 (Side of square 1)2 + (Side of square 2)2 = 468 𝑥2+(𝑥−6)2=468 x2 + x2 – 2 ×𝑥×6+6^2=468 x2 + x2 – 12 x + 36 = 468 x2 + x2 – 12x + 36 – 468 = 0 2x2 – 12x – 432 = 0 Dividing both sides by 2 (2𝑥2 − 12𝑥 − 432)/2=0/2 x2 – 6x – 216 = 0 Comparing equation with ax2 + bx + c = 0, Here a = 1, b = –6, c = – 216 We know that D = b2 – 4ac D = (–6)2 – 4 × 1 × (– 216) D = 36 + 4 × 216 D = 36 + 864 D = 900 So, the roots to equation are x = (−𝑏 ± √𝐷)/2𝑎 Putting values x = (−(−6) ± √900)/(2 × 1) x = (−(−6) ± √900)/(2 × 1) x = (6 ± √900)/2 x = (6 ± √(9 × 100))/2 x = (6 ± √(3^2 × 〖10〗^2 ))/2 x = (6 ± √(3^2 ) × √(〖10〗^2 ))/2 x = (6 ± 3 × 10)/2 x = (6 ± 30)/2 Solving So, x = 18 & x = – 12 Since x is side of square and x cannot be negative So, x = 18 is the solution ∴ Side of square 1 = x = 18 m & Side of square 2 = x – 6 = 18 – 6 = 12 m