Question

If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14cm2 . However, if twice the area of larger square is added to three times the area of the smaller square, the result is 203cm2 . Determine the sides of two squares.

Answer 1

Answer:

5 cm and 8 cm

Step-by-step explanation:

Sides of squares:

small=s and larger=l

then we have:

• l²-2s²=14 => l²=2s²+14
• 2l²+3s²=203
• 2(2s²+14)+3s²=203
• 7s²=203-28
• 7s²=175
• s²=25
• l²=2s²+14=2*25+14=64

s=√25=5 cm

l=√64=8 cm