sum of square areas | Mathematics | Page 1

tough matrixBOT May 23, 2024, 12:55 AM

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cosmic lake May 23, 2024, 12:56 AM

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imma guess, 1 ;D I mean uh ansewer choice "F" ;p

wanton depot May 23, 2024, 1:17 AM

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!show

tough matrixBOT May 23, 2024, 1:17 AM

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Show your work, and if possible, explain where you are stuck.

silent iron May 23, 2024, 4:20 AM

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Middle square side length = x
Rightmost square side length = y
Area of middle square = x² = 5x+18+y
Area of rightmost square = y² = y+30
y²-y-30 = 0
(y-6)(y+5) = 0
y = 6 (chosen), y = -5 (not possible)
x² = 5x+18+6
x² = 5x+24
x²-5x-24 = 0
(x-8)(x+3) = 0
x = 8 (chosen), x = -3 (not possible)
Sum areas of 3 squares
= (R1+5x)+(5x+R2+y)+(y+R3)
= (81+5•8)+(5•8+18+6)+(6+30)
= 121+64+36
= 221 cm² (B)

#sum of square areas