# Algebra

The picture is just of a square 3/4 of the square is shaded if I can get help with that information thank you you will not be able to see the picture of the square.

1. Area of a square. Find a polynomial A(x) that represents

the area of the shaded region in the accompanying figure.

ïƒŸ------------------X--------------------ïƒ

3 THE SAME GOING DOWN 3 AND X

ONE THIRD OF THE SQUARE IS SHADED

2. Compounded semiannually. P dollars is invested at annual

interest rate r for 1 year. If the interest is compounded

semiannually, then the polynomial P(1+R/2)2

represents the

value of the investment after 1 year. Rewrite this expression

without parentheses. Evaluate the polynomial if

P = $200 and r = 10%

https://brainmass.com/math/basic-algebra/one-third-square-shaded-algebra-246502

## SOLUTION This solution is **FREE** courtesy of BrainMass!

(1) If the given square has a side of length x, and if 1/3 of the square is shaded, then the polynomial for the shaded area

is A(x) = x^2 /3

If the given square has a side of length x, and if 3/4 of the square is shaded, then the polynomial for the shaded area

is A(x) = 3x^2 /4

(2) The expression is P(1 + R/2)^2 = P[1 + R + (R^2 /4)] = P + PR + (PR^2 /4)

The value is 200 + 200(0.10) + (200 * 0.1^2 /4) = $220.50.

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