Arectangle of area 350 square feet is 14 times as wide as it is long find its length and width

Given:

Area of rectangle = 350 sq. ft

Find:

Length = ?

Width = ?

Solution:

The area of a rectangle is: L * W = 350 sq. ft

W = 14 L

Substitute into the area equation:

L * 14 L = 350 sq. ft

14 L^2 = 350 sq. ft

14 L^2 / 14 = 350 / 14

L^2 = 25

Sqrt (L^2) = sqrt (25)

L = 5

Then from above:

W = 14 * 5

W = 70 ft.

Therefore, the length of the rectangle is equal to 5 ft. and the width is equal to 70 ft. 

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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