Advertisements
Advertisements
Question
The area of a small rectangular plot is 84 m2. If the difference between its length and the breadth is 5 m; find its perimeter.
Advertisements
Solution
Area of a rectangular plot = 84 m2
Let breadth = x m
Then length = (x + 5) m
Area = l x b
x(x + 5) = 84
x2 + 5x – 84 = 0
=> x2+ 12x – 7x – 84 = 0
=> x(x + 12) – 7(x + 12) = 0
=> (x + 12) (x – 7) = 0
Either x + 12 = 0, then x = -12 which is not possible being negative
or x – 7 = 0, then x = 7
Length = x + 5 = 7 + 5 = 12m
and breadth = x = 7 m
Perimeter = 2(l + b) = 2(12+ 7) = 2 x 19 m = 38 m
APPEARS IN
RELATED QUESTIONS
A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.
A rectangular field has length = 160m and breadth = 120 m. Find:
(i) the perimeter of the field.
(ii) the length of fence required to enclose the field.
(iii) the cost of fencing the field at the rate of? 80 per meter.
Mohit makes 8 full rounds of a rectangular field with length = 120 m and breadth = 75 m.
John makes 10 full rounds of a square field with each side 100 in. Find who covers larger distance and by how much?
The length of a rectangle is twice of its breadth. If its perimeter is 60 cm, find its length.
The length of a rectangle is three times its breadth. If the area of the rectangle is 1875 sq. cm, find its perimeter.
Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?
Find the perimeter of the following figure
Find the perimeter of the following figure
The length of a rectangular field is twice its breadth. Jamal jogged around it four times and covered a distance of 6 km. What is the length of the field?
In the following figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
 |
 |
| (i) | (ii) |
