Use the image to answer the question

Question

Use the image to answer the question

A horizontally aligned rectangle is shown as 10 meters long and 6 meters wide. A rectangular area is removed from the bottom right corner, with the remaining length as 8 meters and remaining width as 4 meters. Right angle marks are shown in the five corners of the composite shape.

Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?

60 square meters
56 square meters
58 square meters
32 square meters

Answer 1

The area of the playing field is the sum of the area of the original rectangle and the area of the removed rectangle.

Area of the original rectangle = 10 meters * 6 meters = 60 square meters
Area of the removed rectangle = (10-8) meters * (6-4) meters = 2 meters * 2 meters = 4 square meters

Therefore, the total area of the playing field is:
60 square meters - 4 square meters = 56 square meters

Thus, the area of the playing field is 56 square meters. Answer: 56 square meters

Answer 2

Pooja writes the ratio x/3 = y/4 to help her increase the size of a two-dimensional shape. If the new value of x is 15 units, what will be the value of y?

__ units

Answer 3

To find the value of y when x is 15 units in the ratio x/3 = y/4, we can set up a proportion.

Given the ratio x/3 = 15/3 = 5, we can set up the proportion:

5/3 = y/4

Cross multiply to solve for y:

5 * 4 = 3 * y
20 = 3y

Divide both sides by 3 to solve for y:

y = 20 / 3
y = 6.67 units

Therefore, if the new value of x is 15 units, then the value of y would be approximately 6.67 units. Answer: 6.67 units

Answer 4

thats not right think of another answer

Answer 5

I apologize for the error in the previous response.

Given the ratio x/3 = y/4, and the new value of x is 15 units, we can solve for y as follows:

x/3 = y/4
Substitute x = 15 units into the equation:
15/3 = y/4
5 = y/4
y = 5 * 4
y = 20

Therefore, if the new value of x is 15 units, then the value of y would be 20 units. Answer: 20 units

Answer 6

use the image to answer the question.

A trapezoid shows the longest side measuring 6 feet and the opposite parallel side measuring 3 feet. The two legs measure 3 feet each.

The image shows a table at a restaurant in the shape of a trapezoid. The restaurant owners want to determine if trapezoidal tables will fit comfortably into the rest of the dining room. The owners make a scale drawing of the dining room and a scale drawing of the table. If the greatest length of the table is represented in the scale drawing by 1.5 feet, what will the length of the other sides of the table be? Write your answer in decimal form

__ feet

Answer 7

To determine the lengths of the other sides of the trapezoidal table based on the given scale drawing:

Given that the greatest length of the table is represented by 1.5 feet in the scale drawing, and the longest side of the actual table is 6 feet:
Scale factor = 1.5 / 6 = 0.25

To find the lengths of the other sides of the table:
Longest side of the actual table: 6 feet
Opposite parallel side (whose length we want to find): 6 * 0.25
Opposite parallel side = 1.5 feet

The two legs of the trapezoid are each 3 feet in the actual table, therefore:
Legs in the scale drawing = 3 * 0.25
Legs in the scale drawing = 0.75 feet

Therefore, the length of the other sides of the table in decimal form will be approximately:
1.5 feet (longest side), 1.5 feet (opposite parallel side), 0.75 feet (leg), 0.75 feet (leg) Answer: 0.75 feet

Answer 8

Use the image to answer the question.

A rectangle shows a length measuring 20 inches and width measuring 12 inches.

Spencer draws a rectangle to represent the size of the city block where he lives. The rectangle is labeled in inches. Spencer decides he wants to make a smaller scale drawing of the rectangle in which the width is just 1.5 inches long. What will be the length of the rectangle in Spencer's new scale drawing? Write your answer in decimal form.

__ inches

Answer 9

To determine the length of the rectangle in Spencer's new scale drawing where the width is just 1.5 inches long:

Given that the original rectangle has a length of 20 inches and a width of 12 inches, and Spencer wants the new width to be 1.5 inches.

The scale factor for the width can be calculated as follows:
Original width / New width = 12 / 1.5 = 8

Now, we use this scale factor to find the length in the new scale drawing:
New length = Original length / Scale factor
New length = 20 / 8
New length = 2.5 inches

Therefore, the length of the rectangle in Spencer's new scale drawing, where the width is 1.5 inches long, will be 2.5 inches in decimal form. Answer: 2.5 inches

Answer 10

Use the table to answer the question