Question

select all of the expressions that can be used to find the area of the given polygon. what is the area of the polygon at the right? (2 x 10)+(7 x 5)-(5 x 10) (10 x 4)+(2 x 4)+(5 x 4) (6 x 14)+(2 x 10)+(5 x 10) (2 x 10)+(5 x 10)+(14 x 10) (10 x 14)-(7 x 5)

Explanation:

Step1: Divide polygon into rectangles

We can divide the polygon into smaller rectangles.

Step2: Calculate areas of rectangles

Find areas of each rectangle and sum them.

Step3: Check expressions

Check which given expressions represent the sum - of - rectangle - areas.

Answer:

We need to calculate areas of rectangles formed by splitting the polygon and then match with given expressions. Without calculating actual values, we analyze the structure of area - calculation expressions. But since no specific calculations are done here, we can't give a definite answer from the expressions shown. We need to first find the areas of sub - rectangles like: one with sides 10 and 14, another with sides 2 and 10 etc. and then sum them up to match with the expressions.