Question

Jocelyn and lorlesha are comparing the size of their villages in the Clash of Clans app.The area of Jocelyn's village is represented by the polynomial,2W^2 +10W+12. The area of Lorlesha's village is represented by the polynomial,3W^2 +4W-5,where w represents the width,in meters of their Town Hall Part A:Find the expression that represents the additional arra of Jocelyn's village Part B: Find the expressions that represents the combined total area of their villages

Answer 1

Answer:

A. $-W^{2} +6W+17$

B. $5W^{2} +14W+7$

Step-by-step explanation:

A. To find expression that will represent additional area of Jocelyn's village we will subtract area of Lorlesha's village from area of Jocelyn's village.

$2W^{2} +10W+12-(3W^{2} +4W-5)$

$2W^{2} +10W+12-3W^{2} -4W+5$

$-W^{2} +6W+17$

Therefore, expression $-W^{2} +6W+17$ represents additional area of Jocelyn's village.

B. To find expression that will represent combined total area of Jocelyn and Lorlesha's village we will add both expressions that represent areas of both villages.

$2W^{2} +10W+12+(3W^{2} +4W-5)$

$2W^{2} +10W+12+3W^{2} +4W-5$

$5W^{2} +14W+7$

Therefore, expression $5W^{2} +14W+7$ will represent combined total area of both villages.