Question
The length of a rectangle is 3 metres more than its
width. If the perimeter of the rectangle is 78 metres then what is the area (in m2Â ) of the rectangle?Solution
Let the width of the rectangle = ‘x’ metres Then, length of the rectangle = (x + 3) metres Perimeter of the rectangle = 2 × (length + width) Or, 2 × (x + x + 3) = 78 Or, 2x + 2x + 6 = 78 Or, 4x = 78 – 6 = 72 Or, x = 72/4 = 18 m So, area of the rectangle = x × (x + 3) = 18 × 21 = 378 m2
What will come in place of the question mark (?) in the following series?
77, 198, 342, 511, 707, ?
120, 136, 111, 147, ?, 162
79, 248, ?, 225, 125, 206
18, 30, 50, 102, 282, ?
324Â Â Â Â Â Â Â Â 972Â Â Â Â Â Â Â Â 486Â Â Â Â Â Â Â Â 1458Â Â Â Â Â Â 729Â Â Â Â Â Â Â Â ?
...18, 10, 12, 21, ?, 120
580 557 528 497 ? 419
59, 70, ?, 81, 37, 92
14, 86, 150, ?, 254, 294
What will come in place of the question mark (?) in the following series?
112, 123, 144, 169, 190, ?