![lilbanks4](/avatars/49827.jpg)
lilbanks4
28.11.2020 •
Mathematics
the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_
Solved
Show answers
More tips
- A Animals and plants Man s Best Friend: Which Dog Breed Is the Most Friendly?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Ageiger counter counts the number of alpha particles from radioactive material. over a long period of time, an average of 36 particles per minute occurs. assume the arrival...
- M Mathematics Distributive property to simplify -(3x-9)...
- M Mathematics find the value of y for given value of x if y varies directly with x if y + -252 when x=84 what is y when x=74...
- M Mathematics Step-by-step explanation please...
- M Mathematics Refer to the figure and the given information to find each measure. I dont understand it can somebody help me ...
- M Mathematics Or In February, a hot dog company sold 7,837 hot dogs in the United States and 3,129 hot dogs in other countries. How many hot dogs in all did the company sell during...
- M Mathematics Given this table of values, what is the value of f(14)? Enter your answer in the box. x f(x) 10 −12 −16 15.6 14 14.6 −18 14 PLEASE HELP I NEED IT SO BAD...
- M Mathematics What is the solution to the equation t + 14 = 24? 38 10 14 24...
- M Mathematics Lisa walked 48 blocks in 3 hours find the unit rate...
- M Mathematics Y Which interval for the graphed function has a local minimum of 0? co -6 4 (1:2, 2:9) O (-3, -2) O (-2, 0) O [1,2] O [2, 4] 2 2 -2.5.) ( (0,0) 2 (3.0) 4 х -6 (-156,...
Ответ:
We have:
The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²We need to find:
Dimensions of the rectangle?Solution:
Let the width be w. Then the length would be:
➝ Length = 2(width) - 3
➝ l = 2w - 3
Area of rectangle: l × b
➝ Length × width = 35 cm²
➝ (2w - 3)w = 35
➝ 2w² - 3w - 35 = 0
Now finding value of x by middle term factorisation,
➝ 2w² - 10w + 7w - 35 = 0
➝ 2w(w - 5) + 7(w - 5) = 0
➝ (2w + 7)(w - 5) = 0
Hence,
w = 5 because width can't be negative.l = 2(5) - 3 = 7Therefore,
Width = 5 cmLength = 7 cm⛱️![\large{ \blue{ \bf{FadedElla}}}](/tpl/images/0931/6919/c7ae7.png)
Ответ:
let x represent the rectangle's width;
thus;
Width = x
Length = 2x - 3
Area = 35 sq. cm.
Area = Length × Width
35 = (2x - 3)(x)
35 = 2x^2 - 3x
2x^2 - 3x - 35 = 0
Factorizing:
x = 5 or -3.5
but width is a scalar quantity and cannot be negative:
Hence:
Width = 5 cm.
Length = 2(5) - 3 = 7 cm.
6x = 41
x = 7 to the nearest whole number.
Width = 7 cm.
Length = 2(7) - 3 = 11 cm.
Ответ:
Step-by-step explanation:
4