Question

a rectangle is 6 units "wide" and x -8 use long it has the same area of a triangle with a height of 7 units and a base of x minus 3 years what is the area of the rectangle

Answer 1

42 square units

Explanation:

The area of the rectangle is the product of its length and width:

area = 6(x -8)

The area of the triangle is half the product of its base and height:

area = (1/2)(x-3)·7

These two areas are equal, so we have ...

6(x -8) = (1/2)(x -3)(7)

6x -48 = 3.5x -10.5 . . . . eliminate parentheses

2.5x = 37.5 . . . . . . . . . . . add 48 -3.5x

x = 15 . . . . . . . . . . . . . . . divide by 2.5

The area of the rectangle is ...

area = 6(15 -8) = 42 . . . . square units.