The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
For the given problem, the image is given below.
The area of the arrow is,
Area = Area of rectangle + Area of triangle
= (1.5 in × 4.5 in) + (0.5×3×3)
= 6.75 in² + 4.5 in²
= 11.25 in²
Hence, the area of the arrow is 11.25 in².
Learn more about the Area:
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The distance between two points on the plane is given by the formula below
![\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%28x_1%2Cy_1%29%2CB%3D%28x_2%2Cy_2%29%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D%20%5Cend%7Bgathered%7D)
Therefore, in our case,
![A=(-1,-3),B=(5,2)](https://tex.z-dn.net/?f=A%3D%28-1%2C-3%29%2CB%3D%285%2C2%29)
Thus,
![\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28-1-5%29%5E2%2B%28-3-2%29%5E2%7D%3D%5Csqrt%5B%5D%7B6%5E2%2B5%5E2%7D%3D%5Csqrt%5B%5D%7B36%2B25%7D%3D%5Csqrt%5B%5D%7B61%7D%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B61%7D%20%5Cend%7Bgathered%7D)
Therefore, the answer is sqrt(61)
In general,
![-(-n)=n](https://tex.z-dn.net/?f=-%28-n%29%3Dn)
Remember that
![-n=(-1)\cdot n](https://tex.z-dn.net/?f=-n%3D%28-1%29%5Ccdot%20n)
Therefore,
When you see the equals sign with a squiggly line on top, you know that the items on each side of the equation are congruent. Next, name the corresponding sides. Corresponding sides are matching sides between two triangles. They will have the same length in congruent triangles