Question

50 points for best answer!!!!!!!!!!!!!!

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

Answer 1

11 units

Explanation:

Answer 2

11 units

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

`49+(7x-49)/(2)=63\\`

Step 2

solve for x

`49+(7x-49)/(2)=63\\(7x-49)/(2)=63-49\\(7x-49)/(2)=14\\7x-49=14*2\\7x-49=28\\\\7x=28+49\\7x=77\\x=(77)/(7)\\ x=11\\`

have a good day