The area of a rectangle is 90 in2^. the ratio of the length to the width is 5: 2. find the length and the width

Length and width of rectangle is 15 inches and 6 inches respectively

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.  

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

The formula for area of rectangle is given as:

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

On solving the above expression for x we get

Hence length and width of rectangle is 15 inches and 6 inches.

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step-by-step explanation: