96.1k views
1 vote
Need with number 17 please

Need with number 17 please-example-1
User JeffLL
by
7.7k points

1 Answer

3 votes
Hey there :)

We know that the area formula of a rectangle is:
Area = width x length

The given are :
Width = p
Length = 5 + p
Area = 104 ft²

Let us substitute and find p

104 = ( p ) ( 5 + p )
104 = 5p + p²
p² + 5p - 104 = 0

Factor it
Product = - 104 and Sum = 5
Factors = - 8 and 13

( p + 13 )( p - 8 ) = 0
p = -13 p = 8

We reject the negative value since a side can never be negative

Therefore,
Width = p = 8 ft
Length = 5 + p = 5 + 8 = 13 ft


Need with number 17 please-example-1
User Alexander Van Berg
by
8.0k points

No related questions found