QuestionFind the total area of a rectangular pool with dimensions 15ft, 20ft, 6ft, and 8ft (square + rectangle).

Studdy Solution

STEP 1

Assumptions1. The pool consists of two parts, a square and a rectangle. The dimensions given are15ft,20ft,6ft, and8ft3. The dimensions represent the lengths of the sides of the square and rectangle4. The square and rectangle are adjacent and share a side5. The area of a rectangle is calculated by multiplying its length by its width6. The area of a square is calculated by squaring its side length

STEP 2

First, we need to identify the dimensions of the square and the rectangle. From the given dimensions, we can assume that the square has sides of length15ft (since a square has all sides equal) and the rectangle has sides of length20ft and8ft (since a rectangle has opposite sides equal).

STEP 3

Next, we calculate the area of the square using the formula $Area_{square} = Side_{square}^2$

STEP 4

Substitute the given side length into the formula to calculate the area of the square $Area_{square} =15ft^2$

STEP 5

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

STEP 6

Next, we calculate the area of the rectangle using the formula $Area_{rectangle} = Length_{rectangle} \times Width_{rectangle}$

STEP 7

Substitute the given lengths into the formula to calculate the area of the rectangleArea_{rectangle} =20ft \timesft

STEP 8

Calculate the area of the rectangle $Area_{rectangle} =20ft \times8ft =160ft^2$

STEP 9

Finally, we find the total area of the pool by adding the areas of the square and rectangle $Area_{total} = Area_{square} + Area_{rectangle}$

STEP 10

Substitute the calculated areas into the formula to find the total area $Area_{total} =225ft^2 +160ft^2$

STEP 11

Calculate the total area of the poolArea_{total} =225ft^ +160ft^ =385ft^The total area of the pool surface is385 square feet.

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