A rectangular room is three times as long as it is wide, and its perimeter is 72
2 answers:
Answer:
meters
Step-by-step explanation:
Let = the width of the rectangular room.
From the information "is three times as long as it is wide", we can set the length of the room as .
Perimeter of rectangle = (formula for perimeter of rectangle)
(combine like terms)
meters
∴ The width of the room is 9 meters.
To find the length of the room, we can use substitution:
Length =
meters
∴ The length of the rectangular room is 27 meters.
Hope this helps :)
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Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
