All categories

3 years ago

Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape, then five different ways are shown.

<h3>Further explanation </h3>

Area is the number of squares inside a two-dimensional shape.

Here are two important principles for finding area:

If two figures can be placed one on top of the other, then they have the same area so that they match up exactly.
We can decompose a figure (break a figure into pieces) and rearrange the pieces (move the pieces around) to find its area.

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. For rectangle, shapes can be decomposed and rearranged back to rectangles to find the area. When decomposing and rearranging shapes the area of the polygon does not change.

The rectangle is shown in the picture below. After decompose the rectangle along the diagonal, we can varied the pieces to make various different shape. Picture below also shown the five different ways pieces from the rectangle.

<h3>Learn more</h3>

Learn more about rectangle brainly.com/question/2810576
Learn more about Decomposing and Rearranging brainly.com/question/3026941
Learn more about Area and Surface Area brainly.com/question/9265968

<h3>Answer details</h3>

Grade: 9

Subject: Mathematics

Chapter: Area and Surface Area

Keywords: Area, Surface Area, Decomposing, Rearranging, rectangle

You might be interested in

A car mechanic rounds a car's weight to the nearest thousand. He says the weight is 4,000 pounds. What is the least and the grea

serg [7]

Answer:

Step-by-step explanation:

Given that a car mechanic rounds a car's weight to the nearest thousand

By rounding off to nearest 1000, we mean we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.

To simplify the above we can say the 100th digit if greater than or equal to 5, we round off the 1000th digit by 1 up otherwise leave it as it is

Example, 18765 is rounded off as 19000 while

15462 is rounded off as 15000

Here the answer after rounding off is 4000

This is possible if the weight was atleast 3500 because in this case he would round off to 4000 or highest 4499.

If 3499 or 4500 the rounding off would not have been 4000

So least number is 3500 and greatest number is 4499.

5 0

2 years ago

2.6x10^2+3.9x10^11 what is this

rusak2 [61]

Answer:

10 · 13 (2 + 3 · $10^{9}$ w)

Step-by-step explanation:

hope this helps!!!

7 0

3 years ago

How do you find the nearest hundredth of a decimal number?

liraira [26]

Round up if the previous digit is 5 or above, leave it the same (only the hundreth digit, erase all the other thousandths and such) if it is 4 or below

5 0

3 years ago

Write a linear function f with the<br> values f(0) = 6 and f(4) = -6.

vagabundo [1.1K]

Answer:

f(x) = -3x + 6

Step-by-step explanation:

The general linear function is;

y = mx + b

it can also be written as (x , f(x))

f(x) = mx + b

where m is the slope and b is the y-intercept

so we have the points ;

(0,6) and (4,-6)

So we have;

for f(0) to be 6, it means that the y-intercept b is 6

This is because the value of x at the y-intercept is 0

So we have this as;

f(x) = mx + 6

Now, let’s substitute the other point so as to get m

For the other point;

x = 4 and f(x) = -6

that means;

-6 = 4m + 6

4m = -6-6

4m = -12

m = -12/4

m = -3

So we have the equation as;

f(x) = -3x + 6

3 0

2 years ago

Consider the degree of each polynomial in the problem. The first factor has a degree of . The second factor has a degree of . Th

Sever21 [200]

Answer:

The first factor has a degree of

2 .

The second factor has a degree of

3 .

The third factor has a degree of

2 .

The product has a degree of

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers