Arectangle of area 350 square feet is 14 times as wide as it is long find its length and width

Given:

Area of rectangle = 350 sq. ft

Find:

Length = ?

Width = ?

Solution:

The area of a rectangle is: L * W = 350 sq. ft

W = 14 L

Substitute into the area equation:

L * 14 L = 350 sq. ft

14 L^2 = 350 sq. ft

14 L^2 / 14 = 350 / 14

L^2 = 25

Sqrt (L^2) = sqrt (25)

L = 5

Then from above:

W = 14 * 5

W = 70 ft.

Therefore, the length of the rectangle is equal to 5 ft. and the width is equal to 70 ft. 

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: