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3 years ago

W^2+2w-42=0 what is the width and the length

Mathematics

2 answers:

tiny-mole [99]3 years ago

7 0

9514 1404 393

Answer:

width: 5.557 m
length: 7.557 m

Step-by-step explanation:

Given:

a rectangular patio of width w meters, length w+2 meters, and area 42 m²

Find:

width and length

Solution:

The area is ...

A = LW

42 = w(w +2)

43 = w² +2w +1 . . . . . . add 1 to complete the square

√43 = w+1

w = √43 -1 ≈ 5.557 . . . meters

l = w+2 = √43 +1 ≈ 7.557 . . . meters

The width and length of the patio are 5.557 m and 7.557 m, respectively.

xxTIMURxx [149]3 years ago

6 0

Answer:

answers in the explanation cz I'm too lazy to type :(

not entirely sure tho

Step-by-step explanation:

w²+2w-42=0

*quadratic formula*

w= -1+ square root 43 m

or w= -1- square root 43 m

then since the length is 2m more than w

add 2 to both answers

l= 1+ square root 43 m

l=1- square root 43 m

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