Answer:
C. 77
Step-by-step explanation:
Let l be length and w be the width of the rectangle,
Thus, the perimeter of the rectangle = 2 ( length + width )
= 2 ( l + w )
According to the question,
l - w = 4 ⇒ l = 4 + w
Also, 2(l+w)=36
2(4 + w +w)=36
4 + 2 w = 18
2w = 14
⇒ w = 7
So, the width of the rectangle is 7 inches.
And, length = 4 + 7 = 11 inches
Thus, the area of the rectangle = length × width
= 11 × 7
= 77 in²
Option 'C' is correct.
The area of the rectangle is 77 square inches if the rectangle has a length that is 4 inches longer than its width. Its perimeter is 36 inches option (C) is correct.
It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have:
Let's suppose the width of the rectangle is W
Length of the rectangle L = 4 + W
Perimeter of the rectangle P = 36 inches
Now, the perimeter of the rectangle = 2(L+W)
36 = 2(l+W)
36 = 2(4 + W+W) (L = 4 + W)
W = 7 inches
Now, length of the rectangle L = 4 + W ⇒ 4+7 ⇒ 11 inches
Now the area of the rectangle = L×W
= 11×7
= 77 square inches
Thus, the area of the rectangle is 77 square inches if the rectangle has a length that is 4 inches longer than its width. Its perimeter is 36 inches option (C) is correct.
Learn more about the area here:
brainly.com/question/14383947
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