Distance problems
area
midpoint
Slope Intercept
perimeter
100

What is the distance formula?

d= √(x2 - x1)^2 + (y2 - y1)^2

100

What is the area formula for a rectangle?

Area= length x width

100

What is the midpoint formula?

m = (x1 + x2)/2, (y1 + y2)/2

100

What is the slope intercept form?

y = mx + b

100

How do you find perimeter?

2 x length + 2 x width (or adding all sides)

200

What is the distance between the given points (-7,9) and (3,-2)?

14.87

200

The length of a rectangle is 10ft, and the area is 40 ft^2 in total what is the width? 

4ft

200

Find the midpoint for the coordinates (5, -9), (5, -4)

5,-6.5

200

Write the slope intercept form of the equation of the line through the given point with the given slope. Through (6,-5) slope=7

y=7x - 47

200

The length and width of a rectangle are 8cm and 12 cm correspondingly, what is the perimeter of the rectangle?

40 cm

300

Sarah is planning a road trip and wants to calculate the distance between the two cities. The coordinates of the cities on her map are (-5,5) and (4,10). What is the distance between these two cities?  

10.3

300

What is the area of the triangle if the base=15  and the height= 6?

45

300

 Find the midpoint for the coordinates (5, 3), (3, 8)

(4,5.5)

300

Write the slope intercept form of the equation of the line through the given point with the given slope. Through (-1,-1) slope=3

 y = 3x + 2

300

You have a rectangular garden with a length of 12 meters and a width of 8 meters. What is the perimeter of the garden?

40 meters

400

Amanda’s preferred park for meditation is located at (15, 80) on a map. 

She is planning to go there after she finishes her Sumba session at the gym which is located at (55,38). What is the distance she must travel to get from her current location to the other? 

58 units

400

What is the are pf the parallelogram if the base is 15 and the height is 9?  

135

400

What is the midpoint for the coordinates (6,4) (10,-1)?

(8,1.5)

400

Write the slope intercept form of the equation of the line through the given point with the given slope. Through (-3,-7) slope= 5

y= 5x+8

400

You have a rectangular bed with a length of 75 meters and a width of 48 meters. What is the perimeter of the bed? 

246 meters

500

Lana let Olenna borrow her sowing kit, in order for Olenna to return it to her she must first give it to Asai. Olenna’s house is at (1,3) five blocks from the town’s public pool and 12 from the town square. Asai’s house is at (-6,3), two blocks away from the playground and seven from the public gym. What is the distance in miles that Olenna must walk in order to reach Asai’s house to give her the sowing kit?

7 miles

500

Find the missing measurements if the side length of a rectangle is 2in and the area is 4in

the missing measurement is (width) 2in

500

You are driving from City D to City E, which are 200 miles apart. After driving for 2 hours, you realize you’ve reached the midpoint. What is your average speed?

50 miles per hour

500

Write the slope intercept form of the equation of the line through the given point with the given slope. Through (2,-9) slope=4

y=4x+1

500

It is summer and Ashley goes to the pool. The pool is rectangular and has a length of 1500 meters and a width of 800 meters. What is the perimeter of the swimming pool?

4600 meters