Question

Help please urgent !!!!!!

Answer 1

`a)4 √(10) \\ b)2 √(10) \\ c)80`

Explanation:

we can use distance formulas to find the length and width.

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

for length, we can find the length of line segment AD, with coordinates (4, 2) and (0, 14).

`d=√((4-0)^2+(2 - 14)^2)=√(4^2+( - 12)^2)=√(16+144)=√(160)`

next, simplify the result:

`√(160) = √(16 * 10) = 4 √(10)`

we use the same method for width. find the length of line segment AB, with coordinates (4, 2) and (10, 4).

`d=√((10-4)^2+(4-2)^2)=√(6^2+2^2)=√(36+4)=√(40)`

simplify the result:

`√(40) = √(4 * 10) = 2 √(10)`

finally, our area is simply the product of length and width:

`4 √(10) * 2 √(10) = 8( √(10) )^(2) = 80`