50 points for best

a section of a rectangle is shaded.

the area of the shaded section is 63 square units. what is the value of x?

9 units
11 units
18 units
21 units

11 units

Step-by-step explanation:

Hello, I can help you with this

Step one

define

to find the area of an irregular shape you can divide this are into others more common and known shapes like:square, triangle, circle, rectangle, in this case, let's divide the area into 2 shapes a square and a triangle,

let

the square

side=7

area= side*side

Area=7*7 = 49 square units

triangle

the base of the triangle would be= x-7 (it is necesary  subtract 7 for base, those  7 units are counted in the square)

base=(x-7)

height= 7

Area=(b*h)/2

Area=((x-7)*7)/2

Area=(7x-49)/2

the total area is the area of the square plus the area of the triangle

Step 2

solve for x

have a good day

the answer to the expression is 83

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