1. If the perimeter of a rectangular courtyard is 34 yd and the length is 2 yd l

Question

1. If the perimeter of a rectangular courtyard is 34 yd and the length is 2 yd longer than twice the width, then what are the lenght and width?

2. Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side parallel to the barn should be 5 feet longer than twice the width. If Farmer Hodges uses all of the fencing, what should the dimensions be?

3. Carlo drove for 3 hours in fog and then increased his speed by 30 miles per hour and drove 6 more hours. If his total trip was 540 miles, then what was his speed in the fog?

4. Louise walked for 2 hours and then ran for 1 1/2 hours. If she runs twice as fast as she walks and the total trip was 20 miles, then how fast does she run?

Explanation / Answer

1.

perimeter = 34 yd

length = 2 yd longer than twice the width

let width be x

so length = 2+2x

2(x + 2+2x) = 34

3x+2 = 17

3x = 15

x = 5

so width = 5

length = 2+10 = 12

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