1 Answer

Vincent Hiribarren · Answer 1 · 2023-08-18T11:18:03+0000

Answer:

$A_(total) = 295\ cm^2$

Explanation:

Step 1: Determine the area of the bottom rectangle

A = l * w

$A = 20\ cm * 10\ cm$

$A = 200\ cm^2$

Step 2: Determine the area of the top rectangle

A = l * w

$A = (20\ cm - 5\ cm - 5\ cm) * (7\ cm)$

$A = 10\ cm * 7\ cm$

$A = 70\ cm^2$

Step 3: Determine the area of the triangles

A = (h * b)/(2)

$A=((22\ cm - 10\ cm - 7\ cm)*((20\ cm - 5\ cm - 5\ cm)/(2)))/(2)$

$A=(5\ cm * 5\ cm)/(2)$

$A = 12.5\ cm^2$

Since we have found the area of one right triangle we need to multiply by 2 to get the area for both of the triangles.

$A = 12.5\ cm^2*2$

$A = 25\ cm^2$

Step 4: Determine the total area

$A_(total) = 200\ cm^2 + 70\ cm^2 + 25\ cm^2$

$A_(total) = 295\ cm^2$

Answer:
$A_(total) = 295\ cm^2$

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