Aroha's L-shaped garden is made from two rectangles: one is 23 m by 15 m and the other is 11 m by 9 m. What is the total area of the garden?Answer: ______________
A rectangular swimming pool measures 15 meters by 8 meters. A triangular concrete deck is attached to one of the longer sides of the pool, forming a right triangle where the deck's base runs along the entire 15-meter side and its height extends 6 meters outward from the pool. What is the total area of the pool and deck combined?Answer: ______________
Emma is designing a playground for her community. The playground is shaped like an L and consists of two rectangular sections. The first section is 31 meters long and 15 meters wide. The second section is attached to the end of the first section, forming an L-shape. The second section is 17 meters long and 11 meters wide. What is the total area of the playground?Answer: ______________
Aroha's L-shaped garden is made from two rectangles: one is 23 m by 15 m and the other is 11 m by 9 m. What is the total area of the garden?Answer: 444 Solution: Find the area of the first rectangle: 23 × 15 = 345 square meters. Find the area of the second rectangle: 11 × 9 = 99 square meters. Add the two areas: 345 + 99 = 444 square meters.Full step-by-step solution
Step 1: Find the area of the first rectangle: 23 × 15 = 345 square meters.
Step 2: Find the area of the second rectangle: 11 × 9 = 99 square meters.
Step 3: Add the two areas: 345 + 99 = 444 square meters.
The total area of the garden is 444 square meters.
A rectangular swimming pool measures 15 meters by 8 meters. A triangular concrete deck is attached to one of the longer sides of the pool, forming a right triangle where the deck's base runs along the entire 15-meter side and its height extends 6 meters outward from the pool. What is the total area of the pool and deck combined?Answer: 165 Solution: Area of rectangle = length × width = 15 m × 8 m = 120 square meters Area of triangle = (1/2) × base × height = (1/2) × 15 m × 6 m = (1/2) × 90 = 45 square meters Total area = area of rectangle + area of triangle = 120 + 45 = 165 square meters The answer is 165.Full step-by-step solution
Step 1: Calculate the area of the rectangular pool
Area of rectangle = length × width = 15 m × 8 m = 120 square meters
Step 2: Calculate the area of the triangular deck
Area of triangle = (1/2) × base × height = (1/2) × 15 m × 6 m = (1/2) × 90 = 45 square meters
Step 3: Add the areas together
Total area = area of rectangle + area of triangle = 120 + 45 = 165 square meters
The answer is 165.
Emma is designing a playground for her community. The playground is shaped like an L and consists of two rectangular sections. The first section is 31 meters long and 15 meters wide. The second section is attached to the end of the first section, forming an L-shape. The second section is 17 meters long and 11 meters wide. What is the total area of the playground?Answer: 652 Solution: Calculate the area of the first rectangular section. Area of first rectangle = length × width = 31 m × 15 m = 465 square meters. Calculate the area of the second rectangular section.Full step-by-step solution
Step 1: Calculate the area of the first rectangular section.
Area of first rectangle = length × width = 31 m × 15 m = 465 square meters.
Step 2: Calculate the area of the second rectangular section.
Area of second rectangle = length × width = 17 m × 11 m = 187 square meters.
Step 3: Add the areas of both rectangles together.
Total area = 465 + 187 = 652 square meters.
The answer is 652.
Let's solve step by step.
We have: (3/4 × 48) + (2/3 × 36)
Step 1: Calculate 3/4 × 48
3/4 × 48 means (3 × 48) ÷ 4.
First, 3 × 48 = 144.
Then 144 ÷ 4 = 36.
So 3/4 × 48 = 36.
Step 2: Calculate 2/3 × 36
2/3 × 36 means (2 × 36) ÷ 3.
First, 2 × 36 = 72.
Then 72 ÷ 3 = 24.
So 2/3 × 36 = 24.
Step 3: Add the two results
36 + 24 = 60.
Final Answer: 60
(27 × 19) + (½ × 27 × 13) = ?Answer: 688.5 Solution: Identify the two shapes. The rectangle has dimensions 27 by 19. The triangle has base 27 and height 13.Full step-by-step solution
Step 1: Identify the two shapes. The rectangle has dimensions 27 by 19. The triangle has base 27 and height 13.
Step 2: Calculate the area of the rectangle: 27 × 19 = 513.
Step 3: Calculate the area of the triangle: ½ × 27 × 13 = ½ × 351 = 175.5.
Step 4: Add the two areas: 513 + 175.5 = 688.5.
The answer is 688.5.
15% of 2400 = ?Answer: 360 Solution: We want to calculate 15% of 2400. Understand that "percent" means "per hundred". So 15% means 15 per 100, which can be written as 15/100.Full step-by-step solution
We want to calculate 15% of 2400.
Step 1: Understand that "percent" means "per hundred".
So 15% means 15 per 100, which can be written as 15/100.
Step 2: "Of" in mathematics usually means multiplication.
So 15% of 2400 means:
(15/100) × 2400
Step 3: Simplify the calculation.
We can write it as:
15 × (2400 / 100)
Step 4: First compute 2400 divided by 100.
2400 / 100 = 24
Step 5: Now multiply:
15 × 24 = 360
Therefore, 15% of 2400 = 360.
(15² - 12²) ÷ 9 = ?Answer: 9 Solution: Calculate the squares. 15 squared is 15 × 15 = 225. 12 squared is 12 × 12 = 144.Full step-by-step solution
Let's solve step-by-step.
Step 1: Calculate the squares.
15 squared is 15 × 15 = 225.
12 squared is 12 × 12 = 144.
Step 2: Subtract the squares.
225 − 144 = 81.
Step 3: Divide the result by 9.
81 ÷ 9 = 9.
Final answer: 9
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