You are bobby find the length and width of his garden. he knows that the area of the garden is x^2+8x+15 the length of his garden is ( x + 5 ) square feet.
a) what is the width of the garden? explain how you came to this conclusion and what method you used (algebraic tiles, the x method, box method, etc. )
b) if x is 3 feet what would the area of the garden be? show your work.

a. the garden is x^2 + 8x + 15

If the length of the garden is (x + 5) then the width will be (x + 3)

The method I used is the F.O.I.L. method

(x + 5)(x + 3) = x^2 + 3x + 5x + 15= x^2 + 8x + 15

b. x= 3 feet

(3 + 3)(5 + 3)= (8)(6)= 48 square feet

Step-by-step explanation:

∠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.