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tamaranim1 [39]

3 years ago

6

The seventh grade class contributed $60 toward refreshments for the school fair and the sixth grade class contributed $50. How m

uch money did the seventh grade class contribute for each dollar contributed by the sixth grade classes

1 answer:

Step2247 [10]3 years ago

6 0

$ 1.2 for every dollar the sixth grade class contributed because 60÷50=1.2

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A rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the l

Lorico [155]

❍ <u>Concept</u><u> </u><u>:</u><u>-</u>

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ <u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>

⠀

A rectangular mat with,

Perimeter = 36 ft.
Length = twice the width

⠀

✱ <u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

⠀

The dimensions of the mat
Area of the mat

⠀

✱ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

<u> $\diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\$ </u>

⠀

✱ <u>Solution</u><u> </u><u>:</u><u>-</u>

⠀

Let the breadth of the mat be x, therefore,

Length = 2x

⠀

Now, according to the question,

⠀

$\sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\$

Thus,

Length = 2x = 2 x 6 = 12 ft.
Breadth = x = 6 ft.

⠀

Now, we have to find out the area of the mat, thus,

⠀

$\sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\$

Thus, the area of the mat is 72 sq. ft.

⠀

$\underline {\rule{221pt}{2.5pt}} \\ \\$

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