the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a

Question

2 years ago

7

length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.

1 answer:

yKpoI14uk [10] · Answer 1 · 2023-03-27T07:08:28+03:00

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

<h3>How to find area of a rectangle</h3>

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

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