Calculate the total area of the composite shapes. Shape 1: Square (side 20cm) and Triangle (base 20cm, height 20cm). Shape 2: Square (side 18cm) and Triangle (base 18cm, height 18cm).

Question

Asked on May 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-05-27T15:03:33.078Z

Welcome back Jamal — missed you this week. Here are the total areas for each shape: 1) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 20 cm. The triangle has a base of 20 cm and a height of 20 cm. Step 2: Calculate the area of the square. Area_square = side × side = 20 cm × 20 cm = 400 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 20 cm × 20 cm = 200 cm^2 Step 4: Calculate the total area. Total Area_1 = Area_square + Area_triangle = 400 cm^2 + 200 cm^2 = 600 cm^2 2) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 18 cm. The triangle has a base of 18 cm and a height of 18 cm. Step 2: Calculate the area of the square. Area_square = side × side = 18 cm × 18 cm = 324 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 18 cm × 18 cm = 162 cm^2 Step 4: Calculate the total area. Total Area_2 = Area_square + Area_triangle = 324 cm^2 + 162 cm^2 = 486 cm^2 3) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 24 cm. The triangle has a base of 24 cm and a height of 24 cm. Step 2: Calculate the area of the square. Area_square = side × side = 24 cm × 24 cm = 576 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 24 cm × 24 cm = 288 cm^2 Step 4: Calculate the total area. Total Area_3 = Area_square + Area_triangle = 576 cm^2 + 288 cm^2 = 864 cm^2 4) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 32 cm. The triangle has a base of 32 cm and a height of 32 cm. Step 2: Calculate the area of the square. Area_square = side × side = 32 cm × 32 cm = 1024 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 32 cm × 32 cm = 512 cm^2 Step 4: Calculate the total area. Total Area_4 = Area_square + Area_triangle = 1024 cm^2 + 512 cm^2 = 1536 cm^2 Drop the next question!

Accepted Answer · 2026-05-27T15:03:33.078Z

Welcome back Jamal — missed you this week. Here are the total areas for each shape: 1) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 20 cm. The triangle has a base of 20 cm and a height of 20 cm. Step 2: Calculate the area of the square. Area_square = side × side = 20 cm × 20 cm = 400 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 20 cm × 20 cm = 200 cm^2 Step 4: Calculate the total area. Total Area_1 = Area_square + Area_triangle = 400 cm^2 + 200 cm^2 = 600 cm^2 2) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 18 cm. The triangle has a base of 18 cm and a height of 18 cm. Step 2: Calculate the area of the square. Area_square = side × side = 18 cm × 18 cm = 324 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 18 cm × 18 cm = 162 cm^2 Step 4: Calculate the total area. Total Area_2 = Area_square + Area_triangle = 324 cm^2 + 162 cm^2 = 486 cm^2 3) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 24 cm. The triangle has a base of 24 cm and a height of 24 cm. Step 2: Calculate the area of the square. Area_square = side × side = 24 cm × 24 cm = 576 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 24 cm × 24 cm = 288 cm^2 Step 4: Calculate the total area. Total Area_3 = Area_square + Area_triangle = 576 cm^2 + 288 cm^2 = 864 cm^2 4) Step 1: Identify the components of the shape. The shape consists of a square and a right-angled triangle. The square has sides of 32 cm. The triangle has a base of 32 cm and a height of 32 cm. Step 2: Calculate the area of the square. Area_square = side × side = 32 cm × 32 cm = 1024 cm^2 Step 3: Calculate the area of the triangle. Area_triangle = (1)/(2) × base × height = (1)/(2) × 32 cm × 32 cm = 512 cm^2 Step 4: Calculate the total area. Total Area_4 = Area_square + Area_triangle = 1024 cm^2 + 512 cm^2 = 1536 cm^2 Drop the next question!

Calculate the total area of the composite shapes. Shape 1: Square (side 20cm) and Triangle (base 20cm, height 20cm). Shape 2: Square (side 18cm) and Triangle (base 18cm, height 18cm).

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Calculate the total area of the composite shapes. Shape 1: Square (side 20cm) and Triangle (base 20cm, height 20cm). Shape 2: Square (side 18cm) and Triangle (base 18cm, height 18cm).

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