Advertisements
Advertisements
प्रश्न
Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.
Advertisements
उत्तर
Let `square`ABCD be a parallelogram.
AB : BC = 3 : 4
If AB = 3x cm
So, BC = 4x cm ...(x is the common multiple.)
∴ CD = AB = 3x cm and AD = BC = 4x cm ...(opposite sides of parallelogram)
Perimeter of `square`ABCD = 112 cm
∴ AB + BC + CD + AD = 112
∴ 3x + 4x + 3x + 4x = 112
∴ 14x = 112
∴ x = `112/14`
∴ x = 8
∴ CD = AB = 3x = 3 × 8 = 24 cm
∴ AD = BC = 4x = 4 × 8 = 32 cm
APPEARS IN
संबंधित प्रश्न
Consider the given parallelogram. Find the values of the unknowns x, y, z.
Consider the given parallelogram. Find the values of the unknowns x, y, z.
Consider the given parallelograms. Find the values of the unknowns x, y, z.
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
In the given figure, `square`ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.
In the adjacent figure, if seg AB || seg PQ, seg AB ≅ seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC ≅ seg QR.
In parallelogram ABCD, ∠A = 3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram, if AB = 5x – 7 and CD = 3x +1 ; find the length of CD.
In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC is perpendicular to BD but is not equal to it?
Prove that the diagonals of a parallelogram bisect each other.
Use the information given in the alongside diagram to find the value of x, y, and z.
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between b and c
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
In parallelogram PQRS, O is the mid point of SQ. Find ∠S, ∠R, PQ, QR and diagonal PR.
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.
Find the values of x and y in the following parallelogram.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
