Pythagorean Theorem Word Problems Question Preview (ID: 45605)


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The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
a) 18
b) 4.2
c) 11.6 feet
d)

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
a) 150
b) 22500
c) 210
d) 14.5

How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
a) 81
b) 9
c) 3
d) 19.2

What is the length of the diagonal of a 10 cm by 15 cm rectangle?
a) 100
b) 325
c) 18
d) 11.1

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?
a) 25
b) 15
c) 20
d) 300

The area of a square is 81 square cm . Find the perimeter of the square.
a) 36
b) 9
c) 81
d) 6561

An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is the area of the triangle?
a) 375
b) 19.4
c) 48.4
d) 10

A baseball diamond is a square that is 90’ on each side. The area of the baseball diamond is 400 square feet. If a player throws the ball from 2nd base to home, how far will the ball travel?
a) 28.3
b) 180
c) 13.4
d)

Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?
a) 126
b) 72.7
c) 93.9
d)

A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along the two sides of it?
a) 10
b) 4
c)
d)

David leaves the house to go to school. He walks 200m west and 125m north. How far away is he from his starting point? (the diagonal)
a) 235.9
b) 24375
c) 156.1
d)

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?
a) 28
b) 5.3
c) 14
d) 10

A ramp is placed from a ditch to a main road 2 ft. above the ditch. If the length of the ramp is 12 ft., how far away is the bottom of the ramp from the road?
a) 11.8
b) 12.2
c) 122
d) 118

A ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 ft. How tall is the ladder?
a) 12
b) 194
c) 13.9
d)

The diagonal of a rectangle is 25 in. The width is 15 in. What is the length?
a) 20
b) 850
c) 29.
d)

The area of a square is 81 square centimeters. First, find the length of a side. Then, find the length of the diagonal.
a) 81
b) 12.7
c) 12.3
d)

In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
a) 21.5
b) 16.2
c) 119
d)

Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?
a) 15
b) 32
c) 5
d) 2.2

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
a) 9.4
b) 6.3
c) 3.6
d)

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?
a) 20
b) 26.5
c) 50
d)

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