Match the rectangles formed by the sets of points to their corresponding areas.
tiles
a(-9, 8), b(-5, 5), c(1, 13), d(-3, 16)
50 square units
e(30, 20), f(39, 29), g(49, 19), h(40, 10)
300 square units
i(-6, 2), j(2, 2), k(2, -8), l(-6, -8)
100 square units
m(5, 5), n(11, 5), o(11, -5), p(5, -5)
80 square units
q(10, 0), r(15, 5), s(25, -5), t(20, -10)
u(0, 5), v(15, 20), w(25, 10), x(10, -5)

we know that

The area of a rectangle is equal to

where

L is the length side of the rectangle

w is the width side of the rectangle

To determine the solution we will proceed to graph and calculate the area of each rectangle

case 1)

using a graph tool

see the attached figure N

Find the distance BC (Length side)

Find the distance AB (Width side)

Find the area of rectangle ABCD

The area of the rectangle ABCD is  

case 2)

using a graph tool

see the attached figure N

Find the distance EH (Length side)

Find the distance EF (Width side)

Find the area of rectangle EFGH

The area of the rectangle EFGH is  

case 3)

using a graph tool

see the attached figure N

Find the distance JK (Length side)

Find the distance KL (Width side)

Find the area of rectangle IJKL

The area of the rectangle IJKL is  

case 4)  

using a graph tool

see the attached figure N

Find the distance NO (Length side)

Find the distance OP (Width side)

Find the area of rectangle MNOP

The area of the rectangle MNOP is  

case 5)  

using a graph tool

see the attached figure N

Find the distance RS (Length side)

Find the distance ST (Width side)

Find the area of rectangle QRST

The area of the rectangle QRST is  

case 6)  

using a graph tool

see the attached figure N

Find the distance WX (Length side)

Find the distance VW (Width side)

Find the area of rectangle UVWX

The area of the rectangle UVWX is  

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: