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A rectangular mall located between two parallel streets is 50ft wide and 200yd long. Find the area.

Question:

A rectangular mall located between two parallel streets is 50ft wide and 200yd long. Find the area.

Area

Area is the space enclosed by a polygon. It is the 2-dimensional surface that a shape occupies. The area of a rectangle is the product of the length and the width.

Answer and Explanation:

The mall has the following dimensions:

{eq}\rm w = 50 \ ft \ and \ l = 200 \ yd {/eq}

The dimensions are in different units and must be expressed in the same units, we will express the larger unit into the smaller unit:

{eq}\displaystyle \rm 200 \ yd \times \frac{3 \ ft}{1 \ yd} = 600 ft {/eq}

The length is 600 ft. Thus the area is:

{eq}\rm Area_{\square} = l \times w = (600 \ ft)(50 \ ft) {/eq}

{eq}\rm Area_{\square} = 30 000 \ ft^{2} {/eq}.


Learn more about this topic:

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Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
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