Title WK8 - Y5 - MATH - HW - ADVANCED GEOMETRY & ALGEBRA - AN (1).docx.pdf ✅

Question 1: Step 1: The length of Snow White’s rectangular flower garden is twice its width. Say the length is 2x and width is x. The garden has a perimeter of 24 metres. Step 2: Then, we have - 2(2x + x) = 24 3x = 12 x = 12/3 = 4 metres 2x = 2 * 4 = 8 metres Answer: D. 8 metres Question 2: Step 1: PQRS is a parallelogram with an area of 40 square centimetres. Area = base * height = 40 Base * 4 = 40 Base = 40/4 = 10 cm. Step 2: The perimeter of the parallelogram PQRS is - 5 + 5 + 10 + 10 = 30 cm. Answer: D. 30 cm Question 3: Step 1: A rectangular banana plantation is 150 metres long and 100 metres wide. The perimeter is - 2(150 + 100) = 500 metres. The banana plantation is enlarged by extending its length and width by m metres each. Say the length is 150 + m and width is 100 + m. Step 2: Now, the perimeter of enlarged plantation is - ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 1

Step 2: The new surface area created is - Area of square base * 4 = 4 * 4 = 16 square cm. Answer: C. 16 square cm Question 6: Step 1: A square has a perimeter of P centimetres. 4 * side = P side = P/4 Step 2: Then, the area of the square is - Area = P/4 * P/4 = P 2/16 Answer: E. P 2/16 Question 7: Step 1: A square piece of paper has an area of 144 square centimetres. The paper is cut to make a smaller square that has an area of 1/4 of the original square. The area of the smaller square is - 144 * 1/4 = 36 square units. Step 2: Say the side of the smaller square is a. a * a = 6 * 6 = 36 So, the side of the smaller square is 6 cm. The perimeter of the smaller square is - 4 * 6 = 24 cm. Answer: C. 24 cm Question 8: Step 1: The drawing has a total area of 104 square centimetres. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 3
The triangle has an area of 40 square centimetres. Then, the area of square is - 104 - 40 = 64 square centimetres. Step 2: Say the side of the square is a. a * a = 8 * 8 = 64 So, the side of the square is 8 cm. The perimeter of the square is - 4 * 8 = 32 cm. Answer: C. 32 cm Question 9: Step 1: A rectangular container is 80 centimetres long, 40 centimetres wide, and 100 centimetres deep. The area of the base of the container is - 80 * 40 = 3200 square cm. Step 2: Then, the height is - 16000/3200 = 5 cm So, the height of the water is 5 cm. Answer: B. 5 cm Question 10: Step 1: The perimeter of the triangle below is 30. Step 2: Then, we have - x - 1 + x + 6 + x + 7 = 30 3x + 12 = 30 3x = 18 ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 4