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In this lesson, we will learn how to solve real-world problems including radical expressions.

Q1:

A square of side length π₯ cm has an area of 280 cm^{2}. Which of the following is true about π₯ ?

Q2:

Determine the dimensions of a square-shaped chessboard having an area of 81 square centimeters.

Q3:

Determine the dimensions of a square-shaped chessboard having an area of 289 square centimeters.

Q4:

Given that the area of each square on the chessboard is 21 cm^{2}, find the length of the chessboardβs side.

Q5:

Determine the area of the isosceles triangle , given that , , cm, and cm.

Q6:

Given that ( π΄ π΅ ) = 4 ο¨ ο¨ c m , ( π΅ πΆ ) = 1 6 ο¨ ο¨ c m , and π΅ β π΄ πΆ , determine the length of π΄ πΆ .

Q7:

Given that a square tile has an area of 81 square inches, determine the dimensions of the tile.

Q8:

What is the perimeter of the triangle π΄ π΅ πΆ ? Express your answer in its simplest form.

Q9:

Sarahβs bedroom is shaped like a square. Determine the dimensions of her room if the area of its floor is 256 ft^{2}.

Q10:

Determine the square of the number whose cube is β 5 1 2 .

Q11:

Adel bought a squared greeting card of area 207.36 square centimeters. Find the dimensions of the greeting card.

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