How Cheenta works to ensure student success?
Explore the Back-Story

# AMC 8 2020 Problem 18 | Area Problem Try this beautiful Problem based on area from AMC 8 2020.

## Probability Problem - AMC 8 2020 Problem 18

Rectangle is inscribed in a semicircle with diameter , as shown in the figure. Let , and let . What is the area of ?

• 240
• 248
• 256
• 264
• 272

Area

Semi circle

Symmetry

## Suggested Book | Source | Answer

AMC 8 2020 Problem 13

240

## Try with Hints

Try to find the diameter of the semicircle. So the diameter will be,

The diameter of the semicircle is , so . By symmetry, is the midpoint of AD,So, .

Now, apply Pythagorean Theorem to find CD,

SO the area of ABCD will be= AMC-AIME Program at Cheenta

## Subscribe to Cheenta at Youtube

Try this beautiful Problem based on area from AMC 8 2020.

## Probability Problem - AMC 8 2020 Problem 18

Rectangle is inscribed in a semicircle with diameter , as shown in the figure. Let , and let . What is the area of ?

• 240
• 248
• 256
• 264
• 272

Area

Semi circle

Symmetry

## Suggested Book | Source | Answer

AMC 8 2020 Problem 13

240

## Try with Hints

Try to find the diameter of the semicircle. So the diameter will be,

The diameter of the semicircle is , so . By symmetry, is the midpoint of AD,So, .

Now, apply Pythagorean Theorem to find CD,

SO the area of ABCD will be= AMC-AIME Program at Cheenta

## Subscribe to Cheenta at Youtube

This site uses Akismet to reduce spam. Learn how your comment data is processed.

### Knowledge Partner  