Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

Step-by-step explanation:

so basically first I wanted to find the width, if you draw a model, it would be easy, so

I make 4 rectangles, one on top of the other for all of them.

so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 , so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.

You might be interested in

How many factors does 144 have?<br> i need it fast pleaseeee

Vedmedyk [2.9K]

8 0

3 years ago

Read 2 more answers

Suppose f(x) = x^2 and

SpyIntel [72]

Given:

The two functions are:

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

$g(x)=f(kx)$ ...(i)

If $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{k}$ .

If $k>1$ , the function f(x) is horizontally compressed by factor $\dfrac{1}{k}$ .

We have,

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

Using these functions, we get

$g(x)=f\left(\dfrac{1}{3}x\right)$ ...(ii)

On comparing (i) and (ii), we get

$k=\dfrac{1}{3}$

Since $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{\frac{1}{3}}=3$ .

Hence, the correct option is D.

5 0

2 years ago

Find the area of the following shape. You must show all work to receive credit.

ra1l [238]

Here a photo of the answer. The first thing you have to do is split the figure into separate shapes. Find the area of the shapes, then add them all together.