A lot is 25 m wide and 120 m long. How many metres must be added to both the
length and the width to increase the area
by 750 square metres?

5 meters must be added to both the length and the width

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and length L has an area calculated as:

A = W*L

Initially, the lot has a width of W1=25 m and a length of L1 = 120 m, thus its area is:

When adding x meters to the width and the length, the new area is:

Operating:

We now calculate the increased area by subtracting A2-A1:

We are given this area is 750 square meters, thus:

Rearranging:

Factoring:

Solving:

x=5, x=-150

Taking the positive solution x=5:

5 meters must be added to both the length and the width

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2