of to square side of the larger or 5 centimetre longer than smaller and the area of larger is 50% - Maths - Pairs of Equations

Question

of to square side of the larger or 5 centimetre longer than smaller
and the area of larger is 50% more what is the length of the sides
of each

Brijendra Pal · Accepted Answer

Hi, let the length of smaller square = x cm so length of  bigger square = x+5 cm so A
T 
Q  x+52= x2+50% of x2x2+25+10x = x2+x222x2+50+20x= 3x2x2-20x-50=0x = 20±400+2002=20±1062=10±56but side cannot be negative sox = 10+56cm so side of bigger square =  15+56cm

of to square side of the larger or 5 centimetre longer than smaller and the area of larger is 50% more what is the length of the sides of each