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BartSMP [9]
3 years ago
12

The area of a rectangle is 480in^2 . the length is 4 more than the width. Find each measurement.

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

width = 20 in

length = 24 in

Step-by-step explanation:

A = 480

L = 4 + w

w

A = L x w

A = (4 + w)w

A = 4w + w^{2}

480 = 4w + w^{2}

w^{2} + 4w - 480 = 0

(w + 24)(w - 20) = 0

w = -24 or w = 20

length can't be negative, so w = 20

if w = 20,

L = 4 + w

L = 4 + 20

L = 24

Check:

A = L x w

A = 24 x 20

A = 480

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Answer:

x = 4 radical 3 / 3

Step-by-step explanation:

this is a 30-60-90 triangle

the side across from the angle 30 is L

the side across from the angle 60 is L√3

the side across from the angle 90 is 2L

we are given the side across from 60⁰ so we know that:

2 = L√3

we want to solve for L, so we must divide both sides by √3 (radical three)

2/√3 = L√3/√3

you would get 2/ √3 = L, because the radical three cancels out on the L side.

but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3

2 times √3 and √3 times √3

you get 2√3/√9

radical nine can simplify

2radical3/3 or 2√3/3

we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L

multiply the number infront of the radical by two and get

4√3/3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that,

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