Question
Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is 800 m$^2$? If so, find its length and breadth.
✓
Answer
Let the breadth of the rectangle be x metres and the length is $2 x$ metres.
So, area of rectangle is $800 sq . m$.
$(x)(2 x)=800$
$2 x^2=800$
$x^2=400$
$x=\$ 1 p m \$ 20$
But breadth of rectangle cannot be negative, so $x=20$ and yes, it is possible to design it.
So, Breadth is 20 m and length is 40 m .
So, area of rectangle is $800 sq . m$.
$(x)(2 x)=800$
$2 x^2=800$
$x^2=400$
$x=\$ 1 p m \$ 20$
But breadth of rectangle cannot be negative, so $x=20$ and yes, it is possible to design it.
So, Breadth is 20 m and length is 40 m .
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Prove the following trigonometric identities.
$\frac{(1+\cot^2\theta)\tan\theta}{\sec^2\theta}=\cot\theta$
→$\frac{(1+\cot^2\theta)\tan\theta}{\sec^2\theta}=\cot\theta$
Which of the following are quadratic equations?
$(x + 2)^3= x^3 - 4$
→$(x + 2)^3= x^3 - 4$
If the distance between points $(x, 0)$ and $(0,3)$ is 5 , what are the values of $x$ ?
→A rational number in its decimal expansion is$ 327.7081$. What can you say about the prime factors of q, when this number is expressed in the form $\frac{\text{p}}{\text{q}}?$ Give reasons.
→In the adjoining figure, find AC.
In the give figure, the sectors of two concentric circles of radii 7cm and 3.5cm are shown. Find the area of the shaded region.
Find the value of k for which the system of equations $3x + y = 1$ and $kx + 2y = 5$ has:
→- A unique solution,
- No solution.
A horse is tethered to one corner of a rectangular field of dimensions $70 m \times 52 m$, by a rope of length $21 m .$ How much area of the field can it graze?
→In $\triangle ABC , D$ and $E$ are the points on the sides AB and AC respectively such that DE||BC. If AD = 6x - 7, DB = 4x - 3, AE = 3x - 3 and EC = 2x - 1, find the value of x.
→Write down the decimal expansion of $\frac{76}{6250}$, without actual division.
→