QuestionCalculate the total area of a pool with a square (15ft side) and a rectangle (20ft by 8ft).

Studdy Solution

STEP 1

Assumptions1. The pool is composed of two shapes a square and a rectangle. . The side length of the square is15ft.
3. The dimensions of the rectangle are20ft (length) and8ft (width).
4. The area of a square is calculated as the square of its side length.
5. The area of a rectangle is calculated as the product of its length and width.

STEP 2

First, we calculate the area of the square. The formula for the area of a square is given by $Area_{square} = Side\, length^2$

STEP 3

Now, plug in the given value for the side length of the square to calculate its area.
$Area_{square} =15ft^2$

STEP 4

Calculate the area of the square.
$Area_{square} =15ft \times15ft =225ft^2$

STEP 5

Next, we calculate the area of the rectangle. The formula for the area of a rectangle is given by $Area_{rectangle} = Length \times Width$

STEP 6

Now, plug in the given values for the length and width of the rectangle to calculate its area.
$Area_{rectangle} =20ft \times8ft$

STEP 7

Calculate the area of the rectangle.
Area_{rectangle} =20ft \timesft =160ft^2

STEP 8

Now that we have the areas of both the square and the rectangle, we can find the total area of the pool by adding these two areas together.
$Total\, Area = Area_{square} + Area_{rectangle}$

STEP 9

Plug in the values for the area of the square and the rectangle to calculate the total area.
$Total\, Area =225ft^2 +160ft^2$

STEP 10

Calculate the total area of the pool.
$Total\, Area =225ft^2 +160ft^2 =385ft^2$ The total area of the pool is385 square feet.

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