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.
उत्तर
Let
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
∴ AB + BC + CD + AD = 112
∴ 3x + 4x + 3x + 4x = 112
∴ 14x = 112
∴ x =
∴ x = 8
∴ CD = AB = 3x = 3 × 8 = 24 cm
∴ AD = BC = 4x = 4 × 8 = 32 cm
APPEARS IN
संबंधित प्रश्न
Name the quadrilaterals whose diagonals bisect each other
Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
ABCD is a parallelogram. What kind of quadrilateral is it if: AC = BD but AC is not perpendicular to BD?
Prove that the diagonals of a parallelogram bisect each other.
In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.
Use the information given in the alongside diagram to find the value of x, y, and z.
ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
In the following figure, FD || BC || AE and AC || ED. Find the value of x.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
