Alarge square carpet is initially x inches long and x inches wide. randy decides to trim 4 inches off each edge of the carpet because the edges are worn. later he goes back and trims 6 more inches off each edge.
(a) express the final area (a) of the carpet in square inches (after both trim jobs) as a polynomial function of x

A = x² - 40x + 400

Step-by-step explanation:

A large square carpet has the sides measuring x inches.

Randy decides to trim 4 inches off from each edge.

Since there are 4 edges of the carpet therefore 8 inches will be trimmed off from each dimension.

New edges of the carpet will be (x - 8) inches.

Later he trims off 6 inches more from each edge.

Therefore, each dimension will be trimmed off by 12 inches again and the new dimensions will become (x - 8 - 12) = (x - 20) inches each.

a). Area of the square carpet with new dimensions will be A = (Side)²

A = (x - 20)²

A = x² - 40x + 400

∠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.