SOLUTION: Draw the figure in a coordinate plane and find its area. Rectangle defined by L(–2, –4), M(–2, 1), N(7, 1), and P(7, –4) Choose one answer. a. 36 sq units b. 40 sq units

Algebra ->  Surface-area -> SOLUTION: Draw the figure in a coordinate plane and find its area. Rectangle defined by L(–2, –4), M(–2, 1), N(7, 1), and P(7, –4) Choose one answer. a. 36 sq units b. 40 sq units       Log On


   



Question 362015: Draw the figure in a coordinate plane and find its area.
Rectangle defined by L(–2, –4), M(–2, 1), N(7, 1), and P(7, –4)
Choose one answer.
a. 36 sq units
b. 40 sq units
c. 45 sq units


Found 3 solutions by CharlesG2, Alan3354, ewatrrr:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the figure in a coordinate plane and find its area.
Rectangle defined by L(–2, –4), M(–2, 1), N(7, 1), and P(7, –4)
Choose one answer.
a. 36 sq units
b. 40 sq units
c. 45 sq units

to draw: the points go clockwise from L, L is in lower left corner, line segments LM & PN are the width, MN and LP are the length,
LM = PN = width, MN = LP = length
use distance formula to find width and length
D = sqrt((x2 - x1)^2 + (y2 - y1)^2)
LM = sqrt((-2 + 2)^2 + (1 + 4)^2)
LM = sqrt(5^2)
LM = sqrt(25)
LM = 5
MN = sqrt((7 + 2)^2 + (1 - 1)^2)
MN = sqrt(9^2)
MN = sqrt(81)
MN = 9
area = width * length = LM * MN = 5 * 9 = 45
answer is c. 45 sq units

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Area = 45 sq units

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
L(–2, –4), M(–2, 1),
N(7, 1), and P(7, –4)
rectangle 8 long and 5 wide. Area = 8*5 sq units
answer b would be the correct choice