Question

2 points
8. The ratio of two sides of a
parallelogram is 3:4. If its
perimeter is 112 cm, find the
length of all the sides of that
parallelogram*
O 10 cm, 12 cm, 10 cm, 12 cm
O 24 cm, 32 cm, 24 cm, 32 cm
O 18 cm, 22 cm, 18 cm, 22 cm
O , ,
26 cm, 32 cm, 26 cm, 32 cm​

Answer 1

Answer:

If the two sides have a ratio of 3:4 that means their sides can be represented as 3x and 4x.

⇒ Perimeter of parallelogram =2(3x)+2(4x)

⇒ 112=6x+8x

⇒ 112=14x

⇒ x=8cm

The length of the sides are,

⇒ 3x=3×8cm=24cm

⇒ 4x=4×8cm=32cm

∴ The length of the smallest sides of the parallelogram is 24cm