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What is the area of the shape?
40 square centimeters
76 square centimeters
100 square centimeters
224 square centimeters

What is the area of the shape 40 square centimeters 76 square centimeters 100 square centimeters 224 square centimeters class=

Respuesta :

Answer:

76 sq. centimeters.

Step-by-step explanation:

Answer:

76 square centimeters

Step-by-step explanation:

Break it down into easier shapes.

There is one rectangle and one square. Both of them share the same formula for calculating area: length × width.

The rectangle is 6 cm long and 10 cm wide.

Plug this into the formula:

6 cm × 10 cm = 60 cm^2

The square is 4 cm wide. It does not directly say how long it is. Instead, notice how the rectangle below it is 6 cm long and adding the square to it totals to 10 cm long. This means the square is the difference between the total amount of cm and the rectangle's cm. Calculate the difference:

10 cm - 6 cm = 4 cm.

The square is 4 cm long and 4 cm wide.

Plug this into the formula:

4 cm × 4 cm = 16 cm^2

Add both areas together:

60 cm^2 + 16 cm^2 = 76 cm^2