232k views
12 votes
A man has 290 ft of fencing to build the pen shown in the illustration. If one in is a square, find the outside dimensions.

the dimensions are feet(smaller value) by feet (larger value)​

A man has 290 ft of fencing to build the pen shown in the illustration. If one in-example-1
User Taymour
by
3.0k points

1 Answer

8 votes

9514 1404 393

Answer:

40 ft by 85 ft

Explanation:

The total length of the three "vertical" partitions is ...

3x = vertical partitions

The total length of the horizontal sides is ...

2(x +(x +5)) = 4x +10

Then the perimeter is ...

P = vertical partitions + horizontal sides

290 = 3x +4x +10

280 = 7x

x = 40

2x+5 = 85

The overall dimensions are 40 ft by 85 ft.

User Mentlegen
by
4.0k points