The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width. the area of a rectangle is found by multiplying the length times the width. during the set up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
a. w(w+8)=48
b. w + 8 = 48
c. w + 8w = 48
d. 8w = 48

Option A.

Step-by-step explanation:

Let the length of a rectangle is l and width of the rectangle is w,

Then as per statement " Length of the rectangle is 8 cm longer than the width"

l = w + 8

Now we know area of a rectangle is represented by the formula

Area = Length × width

Area = l × w

        = (w + 8)w

Area of the rectangle has been given as 48 cm² then the formula will be

w(w + 8) = 48

Option A is the answer.

i dont know it

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.