Mathematics Middle School

Gerard is calculating the area of a composite figure. The figure is made up of a square with side lengths of 6 centimeters (cm) and a triangle with a base of 6 cm and a height of 3.5 cm.
Gerard multiplies 6 by 3.5 to get that the area of the figure is 21 cm2, which is not the correct area.

Which statement correctly describes how Gerard could have found the correct answer?

-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 27 cm2, to get 63 sq. cm.
-He should have added 6 to 3.5 to get 9.5 sq. cm.
-He should have multiplied 21 by 12 to get 10.5 sq. cm.
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 10.5 cm2, to get 46.5 sq. cm.

HELP PLEASE

Answers

Answer 1
The last one where he finds the area of the square [36] and then the triangle [10.5] and then add them together
Answer 2

The correct statement is Gerard should have found the area of the square, 36 cm², and added it to the area of the triangle, 10.5 cm², to get 46.5 sq. cm.

What is Area?

Area of a geometrical shape or figure in two dimension is the space which lies within the boundary of the shape.

The given composite figure composed of a triangle and a square.

So, we should find the area of both the triangle and the square and add it to get the area of the composite figure.

Let A₁ and A₂ be the area of the square and area of the triangle respectively.

Area of a square with side lengths 'a' = a²

Here, length of the side of the square = 6 cm

A₁ = 6² = 36 cm²

Area of a triangle with base 'b' and height 'h' = [tex]\frac{1}{2}[/tex] × b × h

Here, b = 6 cm and h = 3.5 cm

A₂ =  [tex]\frac{1}{2}[/tex] × 6 × 3.5 = 10.5 cm²

Area of the composite figure = A₁ + A₂

                                                =  36 cm² + 10.5 cm²

                                                = 46.5 cm²

Hence Gerard could have found the correct answer by finding the area of the square as 36 cm², and adding it to the area of the triangle, 10.5 cm², to get the area of the figure as 46.5 cm².

To learn more about Area, click:

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Related Questions

If Jessica takes 2/5 hour to repaint 5/8 of her wall, how long will it take to paint her whole wall?

Answers

Answer:

38.4 or 38 2/5 minutes

Step-by-step explanation:

2/5×60 = 24

24÷5 = 4.8

4.8×8 = 38.4 minutes

I think the answer is 38 and 2/5

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33 and 1/3 should be the correct answer
he should use 33 and 1/3.
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