The measures of two adjacent sides of a parallelogram are in the ratio 4:2. The
perimeter of the parallelogram is 36 units. Find the measure of each side of the
parallelogram.
Answers
Answer:
Let the two sides be 4x and 2x. Then perimeter will be 2(4x+2x)=12x
12x=36
x=36/12=3
So two opposite sides will be 4×=4×3=12 and the other two opposite sides will be 2x=2×3=6
Answer:
Each side of the parallelogram are 12units, 12 units, 9 units, 9 units respectively.
Step-by-step explanation:
The measure of the two adjacent sides of the respective parallelogram is in the ratio of 4:2 We also know that the opposite sides of any parallelogram are always equal. We further have been given that the perimeter of this respective parallelogram is 36units. We have to find the measure of each side of the respective parallelogram.
We assume the two adjacent sides to be 4m and 2m respectively and we have:
Perimeter = sum of all the respective sides
∴ 36 = 4m + 4m + 2m +2m
⇒ 36 = 12m
⇒ m = 36 ÷ 12
⇒ m = 3
Hence the sides are as follows:
4m = 4 × 3 = 12 units
3m = 3 × 3 = 9 units
Hence each side of the parallelograms are 12units, 12 units, 9 units, 9 units respectively.