6. Two sides of a parallelogram are in the ratio 5:3. If its perimeter is 64 cm, find the
of its sides
7. The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by
10 cm, find the length of each of its sides.
8. In the adjacent figure, ABCD is a rectangle. If BM and DN are
perpendiculars from B and D on AC. prove that A BMC = A DNA. Is it
8
Answers
Step-by-step explanation:
Perimeter = 64 cm
Let the 2 sides be 5x and 3x.
Perimeter = 2 (L + B)
64 cm = 2 (5x + 3x)
64 cm = 2 * 8x
64 cm/2 = 8x
8x = 32 cm
x = 32/8 cm
x = 4 cm
L = 5x = 5 * 4 = 20 cm
B = 3x = 3 * 4 = 12 cm
_________________________________________________
Perimeter = 140 cm
Let the one side be 'x'.
Other is longer than 'x' by 10 cm = x + 10 cm
Prerimeter = 2 * (L + B)
140 cm = 2 * ( x + x+10 )
140 cm = 2 * ( 2x + 10)
140/2 = 2x + 10
70 cm = 2x + 10
70 - 10 cm = 2x
2x = 60 cm
x = 60/2 cm
x = 30 cm
one side = x = 30 cm
other side = x + 10 cm = 30 + 10 cm = 40 cm
Let us verify if you have any doubt -
P = 2 * (L + B)
140 cm = 2 * (30 + 40 cm)
140 cm = 2 * 70 cm
140 cm = 140 cm
LHS = RHS
Hence, our answer is correct.
For your last question give figure to answer it is little bit confusing.
_________________________________________________
Hope it helps...............
Plz, mark me brainliest..................