Tatami mats are used as a floor covering in japan. one possible layout uses four identical rectangular mats and one square mat, as shown. the area of the square mat is half the area of one of the rectangular mats. a. write and solve an equation to find the area a of one rectangular mat. equation: =81 the area is ft2. b. the length of a rectangular mat is twice the width. use guess, check, and revise to find the dimensions on one rectangular mat. the length of the mat is feet and the width is feet. 5 of 7 answered check answer next

a) Given

Total area = 81 feet squared.

 Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

 So, the area of the rectangular mat feet.

Now,

Total area = 81 feet squared

Then,

Hence  the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

  Then length of the mat = 2 y feet.

   Area of the rectangle

   and area of rectangle = 18 feet squared.

   So,

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

and  length of the rectangular mat = 3*2 = 6 feet

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: