The show has a large display board where visitors are encouraged to pin up their own instant camera pictures, taken during the e
vent. The board is shown below.
How many 6 cm by 6 cm pictures could fit on the wall?
How many 6 cm by 6 cm pictures could fit on the wall?
1 answer:
Answer:
<h2>1,800 pictures</h2>Step-by-step explanation:
Find the diagram attached below with its dimension.
The board is rectangular in nature with dimension of 3.6 m by 1.8 m wall.
Area of a rectangle = Length * Breadth
Area of the board = 3.6 m * 1.8 m
since 1m -= 100cm
Area of the board = 360cm * 180cm
Area of the board = 64,800cm²
If the dimension of a picture on the wall is 6cm * 6cm, the area of one picture fir on the wall = 6cm* 6cm = 36cm²
In order to know the amount of 6cm* 6cm pictures that will fit on the wall, we will divide the area of the board by the area of one picture as shown;
Number of 6cm by 6cm pictures that could fit on the wall
= 64, 800cm²/36cm²
= 1,800 pictures
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This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
Thus a quadratic equation with
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958