The perimeter of a rectangle is 36 cm and it’s area is 77 sq cm. find the dimensions of the rectangle

Length = 11 cm and Width = 7 cm.

Step-by-step explanation:

If length of a rectangle is L and the width is W, then perimeter(P) of the rectangle is given by 2(L + W) = 36 cm. {Given}

⇒ L + W = 18 ......(1)

Again, the area(A) of the rectangle is LW = 77 sq. cm. {It is also given}

⇒ ......... (2)

Now, from equation (1), we get.

⇒

⇒ (L - 7)(L - 11) = 0

⇒ L = 7 or L = 11

Now, since L > W so, we chose L = 11 cm and W = 7 cm. (Answer)

answer4 to the second power is 16

and 4 to the third power is 64,