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## Quiz of the Month (September 2003)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```    1.  14 yr.
2.  34.2 m
3.  212

Notes
1. Let a = Mr. Jones' age, b = Mrs. Jones' age, m = years married.

b     = 6/7 a                So 7b = 6a
b + 7 = 7/8 (a + 7)          So 8b + 56 = 7a + 49
Solving, a = 49, b = 42

So 42 - m = 4/5 (49 - m)
Solving,  m = 14

2. Let x cm = spacing, n = no. of posts, l cm = length of fence.

So l = (n - 1)x
l = (n - 2)(x + 10)
l = n(x - 9)
Solving, n = 20, x = 180, l = 3420

3. By intelligent trial and error:
Andy:     Guess = 236:   Error = 24
Beatrice: Guess = 200:   Error = 12
Charlie:  Guess = 220:   Error =  8```

#### THIS MONTH'S QUIZ

You are given a card in the form of an equilateral triangle with sides of 10 cm.

1. What is the area of the largest circle you could cut from the card?

2. What is the area of the largest square you could cut from the card?

3. What is the area of the largest rectangle you could cut from the card?

***

(c) Hector C. Parr (2003)

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