# Growing a Garden

## Solution

The orange-flower garden belongs to **Bridget**.

Perimeter = 32 ft

Area = 48 ft²

The red-flower garden belongs to **Travis**.

Perimeter = 30 ft

Area = 32 ft²

The yellow-flower garden belongs to **Jessica**.

Perimeter = 28 ft

Area = 48 ft²

The purple-flower garden belongs to **Stacey**.

Perimeter = 26 ft

Area = 40 ft²

## Explanation

### Step 1

Find the perimeter of the orange-flower garden.

**P** = 7 ft + 9 ft + 4 ft + 5 ft + 3 ft + 4 ft = 32 ft

The perimeter of the orange-flower garden is 32 ft.

Find the area of the orange-flower garden.

Separate the figure into a rectangle (4 ft x 9 ft) and a square (3 ft x 4 ft).

Use a formula to find the area of each polygon.

(**A** = **l** x **w**)

4 ft x 9 ft = 36 ft² 3 ft x 4 ft = 12 ft²

Add the areas to find the area of the whole figure.

36 ft² + 12 ft² = 48 ft²

The area of the orange-flower garden is 48 ft².

### Step 2

Find the perimeter of the red-flower garden.

**P** = 5 + 2 + 2 + 4 + 2 + 2 + 5 + 8 = 30 ft

The perimeter of the red-flower garden is 30 ft.

Find the area of the red-flower garden.

Think of the garden as a smaller rectangle (2 ft x 4 ft) cut out of a larger rectangle (5 ft x 8 ft). Subtract the area of the smaller rectangle from the area of the larger rectangle.

5 ft x 8 ft = 40 ft² |

-2 ft x 4 ft = 8 ft² |

32 ft² |

The area of the red-flower garden is 32 ft².

### Step 3

Find the perimeter of the yellow-flower garden.

**P** = 6 ft + 8 ft + 6 ft + 8 ft = 28 ft

Find the area of the yellow-flower garden.

6 ft x 8 ft = 48 ft²

The area of the yellow-flower garden is 48 ft².

### Step 4

Find the perimeter of the purple-flower garden.

**P** = 5 ft + 8 ft + 5 ft + 8 ft = 26 ft

Find the area of the purple-flower garden.

**A** = 8 ft x 5 ft = 40 ft²

### Step 5

Use the clues to find out which garden belongs to which person.