Answer:
10 m and 60 m.
Step-by-step explanation:
Perimeter = 140 m
Area = 210 [tex]m^{2}[/tex]
Distance between pair of opposite sides = height of the parallelogram = 7 m
Area of parallelogram = [tex]\frac{1}{2}[/tex] x base x height
210 = [tex]\frac{1}{2}[/tex] x base x 7
420 = 7 x base
base = [tex]\frac{420}{7}[/tex]
= 60 m
The base of the parallelogram is 60 m, which is equal to the length of the opposite side.
Perimeter = 2(a + b)
140 = 2 (a + 60)
140 = 2a + 120
2a = 140 - 120
2a = 20
a = 10 m
Thus, the length of two adjacent sides of the parallelogram are; 10 m and 60 m.
