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Area of triangle & rectangle question?

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a triangle with the base of 4 and the height of 7 has an area that is 1/3 the area of a rectangle with the width 6. What is the length of the rectangle? 

SAT MATH HEEELLPPP

asked Apr 16, 2016 in PRECALCULUS by anonymous
reshown Apr 16, 2016 by goushi

1 Answer

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Step 1:

The triangle with the base of and the height of and width of the rectangle is .

The area of the triangle: .

Substitute the values in .

Area of a rectangle: .

rd of the area of a rectangle is .

Substitute the values in .

Equate area of the triangle and area of the rectangle to find the length of the rectangle.

Solution :

The length of the rectangle is .

answered Apr 16, 2016 by lilly Expert
edited Apr 16, 2016 by lilly

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