The area of a rectangle is 45 cm2. two squares are constructed such that two adjacent sides of the rectangle are each also the side of one of the squares. the combined area of the two squares is 106 cm². find the lengths of the sides of the squares.

5 cm and 9 cm

Step-by-step explanation:

If the two squares are x and y, then

xy = 45

x^2 + y^2 = 106

so,

x^2 + (45/x)^2 = 106

x^2 + 2025/x^2 = 106

x^4 - 106x^2 + 2025 = 0

(x^2-25)(x^2-81) = 0

x^2 = 25 and 81

x = 5 and 9

yep, 5*9 = 45

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.