Question

100 points but please don’t post a very useless answers! >:(

Guys, I need help with this Math Word Problem #1: Question #54 from The Hung Vuong Learning Centre Incorporated, like immediately will give Brainliest award if you answer the math word problem for The Question #54 and #57 with more efforts and step-by-step explanations, so anyways, here are 2 images about determining an expression for an each shaded area of the each figure, so good luck on answering the math word problem questions and I will check the answers to see if it’s appropriate. :)

Answer 1

Answer:

See below.

Step-by-step explanation:

54.

The radius of the small circles is x.

The radius of the large circle is 2x.

Area of large circle:

πr² = π(2x)² = π4x² = 4πx²

Area of 1 small circle:

πr² = πx²

Area of 2 small circles:

2πx²

shaded area = area of large circle - area of 2 small circles

shaded area = 4πx² - 2πx²

shaded area = 2πx²

57.

The radius if the circle is x√2.

The side of the square is 2x.

Area of circle:

πr² = π(x√2)² = 2πx²

Area of square:

s² = (2x)² = 4x²

shaded area = area of circle - area of square

shaded area = 2πx² - 4x² or (2π - 4)x²

Answer 2

Whole radius

• x+x=2x

Area

• π(2x)²=4πx²

area of two circle

• 2πx²

Area of shaded region

• 4πx²-2πx²=2πx²

#57

Side of square=2x

Area

• (2x)²=4x²

Area of outer circle

• (x√2)²π
• 2πx²

Area of shaded region

• 2πx²-4x²