1 Answer

Sparr · Answer 1 · 2023-10-23T21:00:31+0000

Answer:

$A_(total) = 25\ ft^2$

Explanation:

Step 1: Determine the area of the square

A = s^2

$A = (3\ ft)^2$

$A = 9\ ft^2$

Step 2: Split the top figure into a square and triangle

Determine the area of the rectangle

A = l * w

$A = (7\ ft - 3\ ft) * (5\ ft - 2\ ft)$

$A = (4\ ft) * (3\ ft)$

$A = 12\ ft^2$

Determine the area of the triangle

A = (b * h)/(2)

$A = ((7\ ft - 3\ ft)/(2) * (5\ ft - 3\ ft))/(2)$

$A=(2\ ft * 2\ ft)/(2)$

$A = (4\ ft^2)/(2)$

$A = 2\ ft^2$

Since there are two right triangles in the triangle that we have we multiply the area that we got by 2 to get the total area.

$A_(triangle) = 2\ ft^2*2$

$A_(triangle) = 4\ ft^2$

Step 3: Determine the total area

$A_(total) = 9\ ft^2 + 12\ ft^2 + 4\ ft^2$

$A_(total) = 25\ ft^2$

Answer:
$A_(total) = 25\ ft^2$

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