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3 years ago

Find the area of the shape shown below.

Mathematics

2 answers:

aliina [53]3 years ago

8 0

Answer:

8 units²

Step-by-step explanation:

What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.

Square: A = l · w

2 · 2 = 4 un²

Triangle: A = (b · h) ÷ 2

(2 · 2) ÷ 2 = 2 un²

4 un² + 2 un² + 2 un²

8 un²

kvv77 [185]3 years ago

8 0

Answer is 8

Step by step exploration

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A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of

Blababa [14]

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

$S = 2 * (lw + lh + wh)$

When quadrupled, we have:

$S_2 = 2 * (16lw + 16lh + 16wh)$

Factor out 16

$S_2 =16 * 2 * (lw + lh + wh)$

Substitute $S = 2 * (lw + lh + wh)$

$S_2 =16 * 2 * S$

The above means that:

The new surface area would be 16 times the initial surface area