Mathematics Question and Solution
Calculating z, the diagonal of the square.
9 - 14
y - 7
Cross Multiply.
Therefore;
14y = 63-9y
23y = 63
y = 63/23 units.
z = √(9²+y²)+√(14²+(7-y)²)
And y = 63/23 units.
z = √(9²+(63/23)²)+√(14²+(7-(63/23))²)
z = √(46818/529)+√(113288/529)
z = (√(46818)+√(113288))/23 units.
Therefore the side x of the square is;
2x² = ((√(46818)+√(113288))/23)²
2x² = (305762/529)
x² = (152881/529)
x² = 289
x = √(289)
x = 17 units.
