What is the greatest perfect square that is a factor of 1290
2 answers:
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A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
Area of sandbox = 169 square feet
Area of square with side 'x' is given by the formula =
We have to determine the total length of wood Drew needs to make the sides of the sandbox.
Total length of wood required would be equal to perimeter of sandbox.
Let 'a' be the side of the square sandbox.
So, Area of sandbox = 169
a = 13 feet
Total length of wood required to make sides of the sandbox = Perimeter of the square sandbox =
=
= 52 feet.
Therefore, 52 feet of wood is required to make the sides of the square sandbox.