Question
The perimeter of a rectangle of length 2(x + 6) cm and
breadth 2(x + 5) cm is double the perimeter of a square of area 361 cm². Find the area of the rectangle.Solution
Area of square = 361 cm² Side of square = √361 = 19 cm Perimeter of square = 19 × 4 = 76 cm So, perimeter of rectangle = 2 × 76 = 152 cm ⇒ 2(2(x + 6) + 2(x + 5)) = 152 ⇒ 4x + 22 = 76 ⇒ 4x = 54 ⇒ x = 13.5 So, length of rectangle = 2(13.5 + 6) = 39 cm And, breadth of rectangle = 2(13.5 + 5) = 37 cm Therefore, area of rectangle = 39 × 37 = 1443 cm2
More Mensuration Questions
121/? = ?/144
- What will come in the place of question mark (?) in the given expression?
?² = 28% of 35% of 4500 - What will come in place of (?), in the given expression.
(81 ÷ 9) + (121 ÷ 11) + (64 ÷ 8) = ? 32% of 4080 + 24% of 455 = x% of 4000
(750 / 15 × 15 + 152 + 20% of 125) = ?3
(60 × 8 ÷ 10) × 5 = ?
If the weight of 1 liter of water is 1 kilogram, then the volume of 0.1 gram of water is how many cubic millimeters.
540 ÷ 6 + 25 % of 120 + ? * 8 = 72 * √9
3/7 Of 504 ÷ 12 + 17 = √?
40 × 5 + 27) × 9 = ?
