# Tutor profile: Brittany W.

## Questions

### Subject: Writing

From now on, ending a sentence with a preposition is something up with which I will not put.

-Winston Churchill

### Subject: Pre-Algebra

Multiplying Fractions (1/3)/(4/5)=?

Flip the second fraction and multiply... (1/3)*(5/4)= 1*5=5 3*4=12 Answer=5/12

### Subject: Algebra

The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?

Let x be the length and let x - 2 be the width Area = lenth × width = x × ( x - 2) = 24 x × ( x - 2) = 24 x2 + -2x = 24 x2 + -2x - 24 = 0 Since -24 = 4 × -6 and 4 + -6 = -2, we get: (x + 4) × ( x + -6) = 0 This leads to two equations to solve: x + 4 = 0 and x + -6 = 0 x + 4 = 0 gives x = -4. Reject this value since a dimension cannot be negative x + -6 = 0 gives x = 6 Therefore, length = 6 and width = x - 2 = 6 - 2 = 4

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