Answer:
The missing base b is 3 units
Step-by-step explanation:
- The parallelogram has two different bases, b1 and b2
- Each base has a height perpendicular to it from the base parallel to it
- h1 is the height of b1 and h2 is the height of b2
- The formula of the area of the parallelogram is A = b1 × h1 = b2 × h2
Let us solve the problem
In the given figure
∵ The given figure is a parallelogram
∵ The line of length 7 is perpendicular to the base that parallels to base b
∵ The base b has a height of 7 units
→ By using the formula of the area above
∵ A = b1 × h1
∵ b1 = b and h1 = 7 units
∵ The parallelogram has an area of 21 square units
∴ A = 21
→ Substitute the value of A and h in the rule of the area
∵ 21 = b × 7
∴ 21 = 7b
→ Divide both sides by 7
∴ 3 = b
∴ The missing base b is 3 units
