Question

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

Answer 1

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

not entirely sure tho

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

Answer 2

9514 1404 393

Answer:

• width: 5.557 m
• length: 7.557 m

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.