What is the value of x? x=
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The larger one is (-11 + 41)/2 = 15.
The smaller one is (-11 -41)/2 = -26.
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For two numbers a and b with sum s and difference d, you can write the equations
Then adding the equations and dividing that sum by 2, you get
You can subtract the second eqution from the first and get a similar result for the smaller number
These are the formulas we used above.
First of all, you can divide this shape to two different "easy" shapes.
One is rectangular, the other is triangle.
Area of the rectangular is: a*b
Area = a * b = 13 * 7 = 91
Area of the triangle is: 1/2*a *h
h of the triangle is 4 (as shown on the picture), so you've got:
Area = 1/2*4*13 = 26
Now you have to add this two areas to make one whole shape:
Area of the shape is: area of rectangular + area of triangle
Area of the shape is: 91 + 26 = 117
One is rectangular, the other is triangle.
Area of the rectangular is: a*b
Area = a * b = 13 * 7 = 91
Area of the triangle is: 1/2*a *h
h of the triangle is 4 (as shown on the picture), so you've got:
Area = 1/2*4*13 = 26
Now you have to add this two areas to make one whole shape:
Area of the shape is: area of rectangular + area of triangle
Area of the shape is: 91 + 26 = 117