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question 1 of 40 what is the area of a rectangle with vertices at (2, 3…

Question

question 1 of 40
what is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?
a. 44 units$^{2}$
b. 24 units$^{2}$
c. 35 units$^{2}$
d. 30 units$^{2}$

Explanation:

Step1: Calculate length of base

Take points $(2,3)$ and $(7,3)$. The base length is the difference in x-values:
$7 - 2 = 5$

Step2: Calculate length of height

Take points $(7,3)$ and $(7,10)$. The height is the difference in y-values:
$10 - 3 = 7$

Step3: Compute area of rectangle

Area = base $\times$ height:
$5 \times 7 = 35$

Answer:

C. 35 units$^2$