![Ryan02717](/avatars/47639.jpg)
Ryan02717
03.11.2020 •
Mathematics
Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length What is the area of rectangle STUV.
Solved
Show answers
More tips
- F Food and Cooking Why Chicken Liver Pops and How It Can Affect Your Health?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Write the equation of the line graphed below y=3x-3...
- M Mathematics What is the solution to the inequality below? √x 7...
- E English At the end of the listening process you a. choose a sound to focus on b. make an effort for recall c. provide feedback d. assign meaning...
- M Mathematics Multiply the polynomials (x+2)(x2-7x+4)...
- E English What is the literal meaning of the word dénouement? a. retelling b. rewinding c. untying d. explaining...
Ответ:
117![m^{2}](/tpl/images/0863/1631/ea326.png)
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92![m^{2}](/tpl/images/0863/1631/ea326.png)
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x +
-
= 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117![m^{2}](/tpl/images/0863/1631/ea326.png)
Ответ:
is there a picture of the histogram?