Question

Sum of the area of two square is 544m square.if the difference of their perimeter s is 32 , find the side of the square

Answer 1

Answer:

Area of square =a^

perimeter of square=4a

Let 1st square side be x and 2nd square side be y

4x-4y=32

4(x-y)=32

x-y=8

x=8+y............,............{1}

ATQ

x^+y^=544

from{1}

(8+y)^+y^=544

64+16y+y^+y^=544

2y^+16y=490

2y^+16y-490=0>>>>>>>>divide it by 2

y^+8y-245=0

By formula method

-b+-✓b^-4ac/2a

-8+✓64+980/2

-8+-30.2

38.2 or -38.2