Help! The rectangle shown has a perimeter of 88 cm and the given area. Its length is 8 more than three times its width.
Write and solve a system of equations to find the dimensions of the rectangle.

l=35, w=9

Step-by-step explanation:

l for length, w for width

System: l=8+3w, 2w+2l=88

2w+2(8+3w)=88 (substitute)

2w+16+6w=88 (distributive property)

8w=72 (combine like terms)

w=9 (divide by 8)

l=8+3(9) (substitute)

l=35 (solve for l)

l=35, w=9

Hope this helped :D

bru

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.