All categories

3 years ago

Use the quadrant system to find the area of the polygon

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer: C. 18 square unit.

Step-by-step explanation:

Since, By the diagram we can say that,

The polygon is made by 4 rectangles in which,

Measurements of these rectangle are, 3 × 1, 4 × 1, 1 × 3, 4 × 2.

Thus, the total area of the given polygon = Total sum of the Area of these rectangles

A= 3 × 1 + 4 × 1 + 1 × 3 + 4 × 2= 3+4+3+8=18 square unit.

Thus, The area of given rectangle = 18 square unit.

Therefore Option C is correct.

You might be interested in

Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 R (b) The f

Harlamova29_29 [7]

The summand (R?) is missing, but we can always come up with another one.

Divide the interval [0, 1] into $n$ subintervals of equal length $\dfrac{1-0}n=\dfrac1n$ :

$[0,1]=\left[0,\dfrac1n\right]\cup\left[\dfrac1n,\dfrac2n\right]\cup\cdots\cup\left[1-\dfrac1n,1\right]$

Let's consider a left-endpoint sum, so that we take values of $f(\ell_i)={\ell_i}^3$ where $\ell_i$ is given by the sequence

$\ell_i=\dfrac{i-1}n$

with $1\le i\le n$ . Then the definite integral is equal to the Riemann sum

$\displaystyle\int_0^1x^3\,\mathrm dx=\lim_{n\to\infty}\sum_{i=1}^n\left(\frac{i-1}n\right)^3\frac{1-0}n$

$=\displaystyle\lim_{n\to\infty}\frac1{n^4}\sum_{i=1}^n(i-1)^3$

$=\displaystyle\lim_{n\to\infty}\frac1{n^4}\sum_{i=0}^{n-1}i^3$

$=\displaystyle\lim_{n\to\infty}\frac{n^2(n-1)^2}{4n^4}=\boxed{\frac14}$

8 0

3 years ago

What is the hcf of 240 and 432

givi [52]

Think this way:

What is biggest number that EVENLY divides into 240 and 432?

5 0

3 years ago

The October 31 bank statement of the Stover Co. indicated a balance of $6,151.11. Stover’s checkbook reflected a balance of $2,1

myrzilka [38]

Answer:

$3,443.79

Step-by-step explanation:

Mark as Brainliest

6 0

3 years ago

Read 2 more answers

In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be

jarptica [38.1K]

890 times 12 equals 10680

4 0

3 years ago

Nelson purchased a 3 pound bunch

sveticcg [70]

Step-by-step explanation:

you would do 3 ÷ .99 and then when you get the answer from that you would multiply it by 5.

8 0

3 years ago

Read 2 more answers