The length of a rectangular pitch is 30 m more than its breadth. Its area is 18,271 m\(^2\). Its breadth (in m) is:
The length of a rectangular pitch is 30 m more than its breadth. Its area is 18,271 m\(^2\). Its breadth (in m) is:
एक आयताकार मैदान की लंबाई उसकी चौड़ाई से 30 मीटर अधिक है। उसका क्षेत्रफल 18,271 मीटर \(^2\) है। उसकी चौड़ाई (मीटर में) क्या है?
Detailed Solution & Logic
121
Let the breadth of the rectangular pitch be $x$ m.
Then, length = $(x + 30)$ m
Given area = $18,271 \text{ m}^2$
So,
$x(x + 30) = 18271$
$x^2 + 30x - 18271 = 0$
Now factorise:
$x^2 + 30x - 18271 = 0$
$x^2 + 151x - 121x - 18271 = 0$
$x(x + 151) - 121(x + 151) = 0$
$(x + 151)(x - 121) = 0$
$x = 121$ (breadth cannot be negative)
Therefore, the breadth of the rectangular pitch is
Answer = 121 m
Similar Practice Questions
A Circular garden has radius 10m. What is its area in square meters?
A Circular garden has radius 10m. What is its area in square meters? एक वृत्ताकार...
If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius.
If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius. यदि...
A cuboidal block of metal is melted and recast into 12 identical cubes. If the original block had dimensions 24 cm \times 6 cm \times 6 cm, what is the edge of each cube?
A cuboidal block of metal is melted and recast into 12 identical cubes. If the...
If the radius of a hemisphere is 13
If the radius of a hemisphere is 13 \(\surd3\) cm, find its curved surface area....
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost?
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; ...
Two cubes of edge 5 cm are joined to form a cuboid. Find the total surface area of the cuboid.
Two cubes of edge 5 cm are joined to form a cuboid. Find the total...
What will be the volume (V)
What will be the volume (V) of the cuboid, if its length is doubled, height...