Find the shaded area?

Question

Find the shaded area?
I have a rectangle 5x+2 by 3x-1 with another inside it 4from top 2 from left 2 from right 1 from top
how do i find the shded area outside the inner box

Find the shaded area?
I have a rectangle 5 times+2 by 3 times-1 with another inside it 4from top 2 from left 2 from right 1 from top
how do i find the shded area outside the inner box

Answer 1

I'm assuming you mean "1 from bottom" as you already said "4 from top." First find the dimensions of the inner box. The big rectangle has length 3x - 1. The inner box is 2 from the left and 2 from the right, so its length is (3x - 1) - 2 - 2, or 3x - 5.

Now find the width of the inner box. its 4 from the top and 1 from the bottom, so its width is (5x + 2) - 5, or 5x -3.

To find the shaded area, subtract the area of the big rectangle minus the area of the small rectangle.

The area of the big rectangle is (5x + 2)(3x -1), or 15x^2 + x - 2.

The area of the small rectangle is (3x - 5)(5x - 3), or 15x^2 - 34x + 15.

Now subtract. The answer is 35x - 17.

Hope that helps and good luck!

Answer 2

The way you typed it is confusing. But you need to find x at some point, and the area of the rectangle. It looks like you left something out too. I would draw a picture, they always help clear things up.

Answer 3

you have to find the area of the outside box and the area of the inside box then subtract them

Answer 4

Find the area of the outer rectangle.
Then find the are of the smaller rectangle.
then the answer is area of the larger - the area of the smaller.

Answer 5

i think rectangles are base times hight
b×h
A=4×2
A=8cm²
i could not understand the meausurmants so this might be wrong

Meanings
a=area
b=base
h=hight