Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The perimeter of the table is 300 inches. What is the area of the table in square inches? The area (A) of a rectangle is A=length*width.

Question

Mathematics

Elliott Stone

Today, 15:12

Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The perimeter of the table is 300 inches. What is the area of the table in square inches? The area (A) of a rectangle is A=length*width.

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Answers (2)

Know the Answer?

Louis Pollard · Answer 1

Answer: area = 5,456

Valery Delacruz · Answer 2

5456 sq. inches

Step-by-step explanation:

Let width = w,

Then length = w + 26

Perimeter = 2[length + width]

2[ (w + 26) + w] = 2[2w + 26] = 4w + 52

Perimeter given is 300

So, 4w + 52 = 300

4w = 248

w = 248/4 = 62

length = 62 + 26 = 88

Area = length * width

Area = 88 * 62 = 5456 sq. inches