Question

The sum of the area and perimeter of a square is 165,if one side is x.

a, Form a second - degree equation using the above fact

b, Find the area and perimeter.​

Answer 1

Answer:

given side = x

area of square= x²

perimeter of square =4x

so from given conditions

x²+4x=165

Answer 2

Answer:

Let the length of the rectangle =1 cm and breadth =b cm.

Area of the rectangle =lxb=192cm2 ....(1)

Perimeter of the rectangle =2(l+b)=56 cm

⇒l+b=28 or 1=28-b....(2)

Putting the value of I in equation (1), we get

(28-b)xb-192

28b-b2=192

b2-28b+192=0

(b-16)(b-12)=0

=> b=16 or 12 cm

Substituting the value of b =16 cm in equation

(1), we get

1x16=192

⇒=12 cm

Similarly, if b =12 cm, 1=16 cm.

Dimension of the rectangle are 12 cm

Step-by-step explanation:

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