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2 years ago

The sum of the areas of two squares is 818 cm2.

Mathematics

1 answer:

Elena-2011 [213]2 years ago

6 0

Answer: 17 and 23 (cm)

Step-by-step explanation:

Let c1 and c2 the side of thr squares.

$\left\{\begin{array}{ccc}4*c_1+4*c_2&=&160\\c_1^2+c_2^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+(40-c_1)^2&=&818\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1+c_2&=&40\\c_1^2+-40c_1+391&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}c_1&=&23\\c_2&=&17\\\end{array}\right.\ or\ \left\{\begin{array}{ccc}c_1&=&17\\c_2&=&23\\\end{array}\right.\\$

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Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

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