A rectangle has length that is 4 inches longer than its width. It’s perimeter is 36 inches. Which of the following is it’s area?A. 54B. 64C. 77D. 81

Answer:C. 77Step-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 + wAlso, 2(l+w)=362(4 + w +w)=364 + 2 w = 182w = 14⇒ w = 7So, the width of the rectangle is 7 inches.And, length = 4 + 7 = 11 inchesThus, the area of the rectangle = length × width= 11 × 7= 77 in²Option 'C' is correct.