The area of a rectangle is the product of its dimensions
The base of the rectangle is 7 units
<h3>How to calculate the base of the rectangle</h3>
The area of a rectangle is:
Area (A) = Base (B) * Height (H)
From the question, we have:
A = 6 + P
H = 4
The perimeter of the rectangle is:
P =2 * (B + H)
So, we have:
P =2 * (B + 4)
Substitute P =2 * (B + 4) in A = 6 + P
A = 6 + 2 * (B + 4)
Expand
A = 6 + 2B + 8
Evaluate
A = 2B + 14
The area of the rectangle is:
A = BH
So, we have
A = 4B
Substitute 4B for A in A = 2B + 14
4B = 2B + 14
Subtract 2B from both sides
2B = 14
Divide both sides by 2
B = 7
Hence, the base of the rectangle is 7 units
Read more about areas at:
brainly.com/question/24487155
