Question

Determine the coordinates of the corners of the rectangle to compute the area using

Answer 1

Answer:

77.93

Step-by-step explanation:

#We can simply read off the x,y coordinates directly from the graph.

$i. [1,8]\\\\ii. [4,5]\\\\iii. \ [14,21]\\\\iv.\ \ \ [17,18]$

#we know that a rectangle has pair of two equal sides. To calculate the area, we determine the dimension of any un-equal  two sides:

#Using Pythagorean Theorem:

$\#Use \ ii \ and \ iv \ to \ calculate \ length.\\\\a^2+b^2=c^2\\\\(17-4)^2+(18-5)^2=l^2\\\\l=18.38\\\\\#Use \ i \ and \ ii \ to \ calculate \ width.\\\\a^2+b^2=c^2\\\\(4-1)^2+(8-5)^2=w^2\\\\w=4.24$

We can therefore calculate area as:

$A=lw\\\\=18.38\times 4.24\\\\=77.93$

Hence, the area of the rectangle is 77.93