An architect is allowed 70 square yards of floor space to add a small bedroom to a house. because of the room's design in relation to the existing structure, the length
of the rectangular floor must be 4 yards less than 2 times the width. find the length and width of the rectangular floor that the architect is permitted.

set width as a, so length is 2a-4

a(2a-4)=70

2a^2 - 4a = 70

a^2 - 2a = 35

a^2 - 2a + 1 = 36

(a-1)^2 = 36      Because width can not be negative so we only take possitive answer.

(a-1) = 6

a = 7

2(7) - 4

=14-4

=10

Length = 10

Width = 7

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

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step-by-step explanation: