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What is the area of the object

What is the area of the object-example-1

2 Answers

6 votes

Answer:

C. 189 square centimeters

Explanation:

Area of a Square/Rectangle is base x height

= 7 X 7 = 49

Area of a triangle = 1/2 Base X Height

= 1/2 X 7 X 10

= 35

There are 4 triangles

35 X 4 = 140

140 + 49 = 189

= 189cm^2

User Lee Fogg
by
4.8k points
0 votes

Answer: C. 189 cm²

Explanation:

A rectangle/square is solved for with A = L * W.

The middle square has a (surface) area of:

7 * 7 = 49 cm²

We then have four triangles. These are solved for with
(B*H)/(2). Since all four are congruent, I will multiply one of them by 4.

The triangles have a total (surface) area of:

10 * 7 = 70

70 / 2 = 35

35 * 4 = 140 cm²

Lastly, we will add the two totals together.

140 cm² + 49 cm² = 189 cm²

The object has a surface area of C. 189 cm².

User Vuk Bibic
by
4.1k points