Question
The area of a rectangle with length and breadth in the
ratio of 8:5, respectively, is 320 cm². If the perimeter of the rectangle is the same as the perimeter of a square, then find the length of each side of the square.Solution
ATQ, et the length and breadth of the rectangle be '8x' cm and '5x' cm, respectively. ATQ: '8x' X '5x' = 320 Or, 40x² = 320 Or, x² = 320 ÷ 40 = 8 Or, 'x' = ± √8 As length and breadth cannot be negative, therefore, 'x' = √8 Perimeter of a rectangle = 2 X (Length + Breadth) = 2 X (8x + 5x) = 2 X 13x = 2 X 13 X √8 = 26√8 cm Perimeter of a square = 4 X side Length of each side of the square = (26√8/4) = 6.5√8 cm
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(15.022% of 20) × 46 ÷ 2.03 – 8.78 × 5.72 + 50.23% of 4820 = ?
21.11 × 4.98 + 22.03 × 4.12 – 31.95 + 95.9 × 3.02 =?
90.004% of 9500 + 362 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
63.981 + 64.001 + 65.08019 + 63.11112 =?
630 × 256 ÷ 30 ÷ 56 = ? x 4
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
(24.98)2 = ?2Â + (14.99)2
- 349.99% of 11.98 = ?– 12.5% of 143.99
