Let us write vertices of the given rectangle are PQRS.
Where Q is (c,d) and S is (a,b).
a) Now, we need to find the coordinates of P and R points.
x-coordinate for P is a and y-coordinate of P is d.
<h3>Therefore P is (a,d).</h3>
On the same way, x-coordinate for R is c and y-coordinate of R is b.
<h3>Therefore R is (d,b).</h3>
b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.
<h3>Therefore, width = b - d.</h3>
Area of the triangle is 20x(x - 1) sq. in
Step-by-step explanation:
- Step 1: Find the area of the triangle.
Height = 10x in and Base = 4(x - 1) in
Area = 1/2 × base × height
⇒ Area = 1/2 × 4(x - 1) × 10x
= 20x(x - 1) sq. in