the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a
length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
1 answer:
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
Learn more about area of a rectangle:
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Hope this helps if does not please let me know thanks!