Question

sum of the areas of two squares is 157 if the sum of their perimeter is 68m ,find the side of two squares​

Answer 1

Answer:

If

Step-by-step explanation:

If the side of a square is x and other y then,

X2+y2=157

And,

4x + 4y =68

X+Y = 17. i

X2 +Y2 =157

-X2-y2 - 2xy = - 289

-2xy=-132

Xy=66

Then,

X2 +Y2 - 2XY=157-2XY(adding 2xy both side)

(X-Y)2=157-132=25

X-Y=ROOT 25=5. ii

According to i and ii

X+Y=17

X-Y=5

or, 2x=22

or,X=11

And,

Y=17-11=6

side of two squares are 11m and 6m