Question
A rectangle has a length to breadth ratio of 7:5. The
length is increased by 15% without any change to the breadth, resulting in an 84 m² increase in the rectangle's area. What is the perimeter of the original rectangle?Solution
Let length and breadth of the rectangle is 7x metres and 5x metres respectively. Area of rectangle = 7x × 5x = 35x2 m2 When length is increased, area of the rectangle = 1.15 × 7x × 5x = 40.25x2 m2 According to question; 40.25x2 – 35x2 = 84 Or, 5.25x2 = 84 Or, x2 = 16 x = 4 Perimeter of the rectangle = 2 × (7 + 5) × 4 = 96 metres
5 + 2 × 3 ÷ (3 × 2) ÷ 4
What will come in the place of question mark (?) in the given expression?
{122 + (66/4) + (252/8)} ÷ 8 = (?)1/2
(152 × 24 + 2540)/25 = 44464 ÷ ?
(72 + 30) ÷ 6 + [{75 ÷ 25) + 6} × 2] = ?
12.5% of (100 + ?) = 40
(11/12) × (18/22) × (4/3) + 3 = ?2
- What will come in the place of question mark (?) in the given expression?
435 + 729 - 282 x 2 = ? + 225 + 125 What will come in the place of question mark (?) in the given expression?
{(16 × 25) ÷ 32} × 12 = ? – 200
240 + 25% of 420 – 145 =? + (2.5 + 8.5) 2
Relevant for Exams:
