MATHEMATICS MIDDLE SCHOOL

Given rectangle ABCD below,a. Find the measure of the angles labeled below.
b. If the length of AB=3x–21, DC=34, BC=4y+32, and AD=62, find the values of x and y.
c. Find the perimeter and area of rectangle ABCD.

Answers

Answer 1

Answer:

Answer:

(x, y) = (18 1/3, 7 1/2)
perimeter = 192
area = 2108

Step-by-step explanation:

a) no angles are described or shown

b) Opposite sides are the same length, so we have ...

3x -21 = 34

3x = 55 . . . . . . . add 21

x = 55/3 = 18 1/3 . . . . . divide by 3

and

4y +32 = 62

4y = 30 . . . . . . . . subtract 32

y = 15/2 = 7 1/2 . . . . divide by 4

c) The perimeter is the sum of the side lengths, so is ...

P = 2(L+W) = 2(62 +34) = 192 . . . units

The area is the product of adjacent side lengths, so is ...

A = LW = 62·34 = 2108 . . . square units

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Tim is painting his storage shed. He buys 4 gallons of white paint, and 3 gallons of blue paint. Each gallon of white paint costs $15.72, and each gallon of blue pain costs $21.87. How much will Tim spend on the paint?

Answers

$128.49

Further explanation

Given:

Tim is painting his storage shed.
He buys 4 gallons of white paint and 3 gallons of blue paint.
Each gallon of white paint costs $15.72.
Each gallon of blue pain costs $21.87.

Question:

How much will Tim spend on the paint?

The Process:

We first calculate the total cost spent on each color of the paint.

Total costs of white paint $\boxed{ \ = 4 \ gallons * ( \$15.72)/(1 \ gallon) = \boxed{ \ \$62.88 \ } \ }$

Total costs of blue paint $\boxed{ \ = 3 \ gallons * ( \$21.87)/(1 \ gallon) = \boxed{ \ \$65.61 \ } \ }$

The overall cost of painting is $\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }$

Quick Steps:

Total costs $\boxed{ \ = \bigg(4 \ gallons * ( \$15.72)/(1 \ gallon) \bigg) + \bigg(3 \ gallons * ( \$21.87)/(1 \ gallon) \bigg) \ }$

$\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }$

Therefore, Tim will spend the total costs to paint his storage shed as much $128.49.

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Keywords: Tim is painting his storage shed, 4 gallons of white paint, 3 gallons of blue paint, total costs, how much will Tim spend on the paint?

The total spend money by the Tim in all paint is $\boxed{\bf\$ 128.49}$ .

Further explanation:

Given:

Tim buys 4 gallons of white paint and 3 gallons of blue paint.

The cost of the each gallons of white paint is $\$15.72$ and the cost of each gallons of blue paint is $\$21.87$ .

Calculation:

Let $x$ be the cost of the 4 gallons of white paint and $y$ be the cost of the blue paint.

The cost of each gallons of white paint is $\$15.72$ .

Therefore, the cost of the 4 gallons of white paint can be calculated as follows,

$\begin{aligned}x&=4*\$ 15.72\n&=\$62.88\n\end{aligned}$

The cost of each gallons of blue paint is $\bf\$21.87$ .

The cost of the 3 gallons of blue paint can be calculated as follows,

$\begin{aligned}y&=3*\$21.87\n&=\$ 65.61\n\end{aligned}$

The total money that is spend for all the paint is $\boxed{x+y}$ .

The total spend money can be calculated as,

$\begin{aligned}x+y&=\$62.88+\$65.61\n&=\$ 128.49\n\end{aligned}$

Thus, the total spend money by Tim for painting is $\boxed{\bf\$ 128.49}$ .

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1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Tim, spend money, gallons, white paint, blue paint, cost money, painting, .

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Answers

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Answers

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Answers

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