Question

if twice this area of a smaller square subtracted from the area of largest square the result is 14 cm square however it twice the area the largest square is added to 3 times the area smallest square the result is 203 CM square determine the side of the two square

Answer 1

hy
here is your answer
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let the length of side of 1st square (smaller one) be "a" and that of the other (large square) be "b"

b²-2a²=14-----(1)

2b²+3a²=203------(2)

from (1) we have,

b²=14+2a²

putting the value of b²in (2) we get,

2(14+2a²)+3a²=203

28 +4a²+3a²=203

7a²=175

a²=25

a=5(on neglecting the -tive value)

b²=14+2(25)=14+50=64

b=8(on neglecting the -tive value)

hence a=5cm b=8cm

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i hope u understand