Question
Find the values of x and y in the following rectangle.
✓
Answer
By property of rectnagle,
Lenghts are equal, i.e., CD = AB
⇒ x + 3y = 13 .....(i)
Breadth are Equal, i.e., AD + BC
⇒ 3x + y = 7 .....(ii)
On multiplying Eq. (ii) by 3 and then subtracting Eq. (i), we get
x = 1
On putting x = 1 in Eq, (i), we get
3y = 12 ⇒ y = 4
Hence, the required of x and y are 1 and 4, respectively.
Lenghts are equal, i.e., CD = AB
⇒ x + 3y = 13 .....(i)
Breadth are Equal, i.e., AD + BC
⇒ 3x + y = 7 .....(ii)
On multiplying Eq. (ii) by 3 and then subtracting Eq. (i), we get
x = 1
On putting x = 1 in Eq, (i), we get
3y = 12 ⇒ y = 4
Hence, the required of x and y are 1 and 4, respectively.
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
Draw a pair of tangents to a circle of radius 4.5cm, which are inclined to each other at an angle of 45°.
Find the ratio in which the point (-3, k) divides the join of A(-5, -4) and B(-2, 3). Also find the value of k.
Find all the zeros of the polynomial $2x^3 + x^2 - 6x - 3$, if two of its zeros are $-\sqrt{3}$ and $\sqrt{3}.$
→In the given figure, ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1cm. PB = 3cm, AQ = 1.5cm, QC = 4.5cm, Prove that area of $\triangle\text{APQ}$ is $\frac{1}{16}$ of the area of $\triangle\text{ABC}.$
→In a $\triangle\text{ABC},\angle\text{A}=\text{x}^\circ,\angle\text{B}=3\text{x}^\circ$ and $\angle\text{C}=\text{y}^\circ$ if 3y - 5x = 30, , prove that the triangle is right angled.
→A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 104 cm and the radius of each of the hemispherical ends is 7 cm , find the cost of polishing its surface at the rate of ₹ 10 per $dm ^2$.
→A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
Solve the following quadratic equations by factorization:
$ax^2 + (4a^2 - 3b)x - 12ab = 0$
→$ax^2 + (4a^2 - 3b)x - 12ab = 0$
A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in given below figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take $\pi $ =3.14)
→Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is:
-
Not divisible by 3.
-
A prime number greater that 7.
-
Not a perfect square number.