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marissa [1.9K]
3 years ago
12

The area of a rectangle is 30 square root 3750 square inches, and the length is 3 square root 250 inches what is the width of th

e rectangle
Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

width=10\sqrt{15}\ in

Step-by-step explanation:

-A rectangle's area is given by:

A=lw\\\\l=length\\w=width

Given A=30\sqrt{3750} and l=3\sqrt{250}, we substitute in the formula to solve for the width as follows:

A=lw\\\\30\sqrt{3750}=3\sqrt{250}\times w\\\\w=\frac{30\sqrt{3750}}{3\sqrt{250}}\\\\w=10\frac{\sqrt{3750}}{\sqrt{250}}\\\\=10\times \sqrt{\frac{3750}{250}}\\\\=10\sqrt{15}\ in

Hence , the rectangle's width is 10\sqrt{15}\ in

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