Squares and Square Roots
What is the square root of 49
7
G + E = Y
Determine the square root of the two numbers to one decimal place.
a. 105
b. 76
a. 10.1-10.3
b. 8.6-8.8
Determine the length of the hypotenuse of a right triangle with a leg lengths, 14 cm and 16 cm.
21.3 cm
Norbert walks across a rectangular ( length = 220 m width 160 m) field in a diagonal line. Alyssa walks around two sides of the field. They meet at opposite corners.
a. How far did they each walk?
b. Who walked further and by how much?
b. Alyssa walked further by 107 m
What is the area of a square with a side length of 8cm
64cm2
Use pythagorean relationship to find the unknown area of the square. Leg squares areas are 25cm2 and 36cm2.
61 cm2
What is an example of a number that has a square root between 7 and 8?
50-63
What is the length of the leg of the right triangle with a hypotenuse of 7 cm and a leg 4 cm?
5.7 cm
There is a 18.3 m long guy wire attached to a pole 6.7 m away, how tall is the pole?
The pole is 17.0 m tall.
81 = 3x3x3x3
Has an even number of prime factors
Is the triangle a right triangle? Area of the squares attached to legs are 2500 cm2 and 14400 cm2 and the hypotenuse's is 16900 cm2.
Yes
Identify all the possible whole numbers with a square root larger than 3 but smaller than 4.
10,11,12,13,14,15
Find the height of a triangle with a base of 6 cm and a hypotenuse of 11 cm. Round to the nearest tenth.
9.2 cm
Samuel decides to swim across a river that is 80 m wide. As he begins to swim the current carries him 60 m downstream. How far did he actually swim?
100 m
Use prime factorization to determine which number(s) is/are perfect squares.
a. 196
b. 46
c. 120
a. is the perfect square
=14x14
=7x2x7x2
Jeffrey wants to make sure that the walls his is building are at a right angle to each other. He measures and marks 3 m along Wall A, and 4 m along Wall B. The distance between the marks is 6 m.
No
Jimmy is painting a square canvas with an area of 79 cm2. He needs to by a frame for the painting. Estimate the squares side length to one decimal point.
6.6-6.8
What is the area of each square attached to the legs (12 cm and 15 cm) of the right triangle?
144 cm2 and 225 cm2
The foot of a ladder is 2 m from the wall. If the ladder is 11 m long, how far up the wall does the ladder reach?
The wall is 10.8 m high
An area rug in a living room has a side length of 4 m. What is the area of the area rug in squared metres?
4x4=16m2
a. What is the area of the square on the hypotenuse of the triangle with leg length of 15mm and 4mm
b. What is the area of the square on the hypotenuse of the triangle with leg length of 7mm and 9mm
a. 241 mm2
b. 130 mm2
Rebecca's square garden has an area of 52 m2.
a. Estimate the side length of the garden to one decimal point
b. She has 25 m of fencing to go around the garden. Does she have enough fencing? Explain.
a. 7.1-7.3
b. 28.8, no she does not
A square has an area of 484 cm2 and attached is a triangle with a leg length of 19 cm. What is the perimeter of the shape?
96.1 cm
A quadrilateral has a width of 17 cm and a length of 26 cm. A diagonal is 31 cm. Is the quadrilateral a rectangle? Justify your answer.
No, because 172+262 does not equal 312