Question

3. Solve the following word problems:


b) The area of a square is given by the algebraic expression x2 + 8x + 16. What is the
length, breadth, and perimeter of this square?​

Answer 1

Answer:

We have to find the length, breadth and perimeter of the square. The length, breadth are nothing but the factors of the expression. ☣️ (x+4) and (x+4) are the length and breadth of the square. ☣️ Therefore, 4x+16 units is the perimeter of the square.

Answer 2

Answer:

area of square is x2

Given area of square = x2 + 8x + 16

$x {}^{2} + 8x + 16 = x {}^{2}$

$8x + 16 = 0$

$8x = - 16$

$x = - 2$

length and breadth of a square are same so length = breadth = -2

perimeter of a square = 4x

= -2(4)

= -8

but since these values cannot be negative, it is 2cm and 8 cm respectively.