Mathematics, 21.07.2019 20:00 asims13

The length of a rectangle is 4 feet shorter than its width. the area of the rectangle is 42 square feet. find the length and width. round your answer to the nearest tenth of a foot

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Answer from: VamLS7472

Length is $\boldsymbol{4.4}$ feets and width is equal to $\boldsymbol{8.8}$ feets.

Area of a rectangle

The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that expresses its extent.

A quadrilateral having four right angles is known as a rectangle.

Let $\boldsymbol{w}$ feets denotes width of a rectangle.

Length of a rectangle $=\boldsymbol{w-4}$ feets

Area of a rectangle $=\boldsymbol{42}$ square feet

Length $\times$ Width =42

w(w-4)=42

w^2-4w-42=0

$w=\frac{4\pm \sqrt{16+168}}{2}$

$=2\pm \sqrt{46}$

As dimension can not be negative, $2-\sqrt{46}$ is rejected.

So,

$w=2+ \sqrt{46}$

$=\boldsymbol{8.8}$ feets

Length =8.8-4

$=\boldsymbol{4.4}$ feets

So, length is 4.4 feets and width is equal to 8.8 feets.

Find out more information about rectangle here:

link

Answer from: sonnie28

Let the length of the rectangle to be a value, x.

Since you are told that the length is 4 feet shorter than width, then, this can only mean that
width = (x+4)
The area of a rectangle = length × width.
= x(x+4) = 42
=x² + 4x=42
From here form the quadratic equation then solve it to get the value of x (length of the rectangle)

x²+4x-42=0
Using the quadratic formula,

x = -4 + or - (√(16-4×1×-42))÷2

At this point I had a problem with inserting an equation in this platform. So, i have done it have attached a file that explains the above statement. Kindly find it in the attachment below.

x = (-4+or - 13.56)÷2
= 9.56÷2
=4.78 feet
The length to the nearest foot = 5 feet.
The width to the nearest foot = 5+4 = 9 feet.

Answer from: Quest

use the power rule

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise

to the power of

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in ( x 2 ) 2

apply the power rule and multiply exponents,

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply

2 by 2 . 9 x 4 ( y 3 ) 2

multiply the exponents in

( y 3 ) 2 .

apply the power rule and multiply exponents,

( a m ) n = a m n . 9 x 4 y 3

⋅

multiply

3 by 2 . 9 x 4 y 6

step-by-step explanation:

Answer from: Quest

answer: finding the extract measurements and knowing the points

step-by-step explanation:

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