Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

An airplane ticket has an area of 119 square centimeters. Its perimeter is 48 centimeters. What are the dimensions of the ticket?

Sagot :

Answer:

17cm ×7cm

Step-by-step explanation:

Assuming that the airplane ticket is a rectangle,

let the length and the breadth of the ticket be L cm and B cm respectively.

LB= 119 -----(1)

2(L +B)= 48

L +B= 48 ÷2

L +B= 24 -----(2)

From (2):

L= 24 -B -----(3)

Substitute (3) into (1):

B(24 -B)= 119

24B -B²= 119 (expand)

B² -24B +119= 0

(B -17)(B -7)= 0 (factorise)

B -17= 0 or B -7= 0

B= 17 or B= 7

Substitute the values of B into (3):

L= 24 -17 or L= 24 -7

L= 7 or L= 17

∴ The dimensions of the airplane ticket is 17cm ×7cm.