Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The length of a rectangle is 4 4 times the width. The area is 64 64 square centimeters. Find the length and width of the rectangle.

Sagot :

Answer:

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Step-by-step explanation:

Let width of a rectangle be [tex]x[/tex] cm.

The length of a rectangle is 4 times the width.

Length of a rectangle [tex]=4x[/tex] cm

Area of rectangle [tex]=64[/tex] square centimeters.

Also,

Area of rectangle = length × breadth

[tex]64=4x(x)\\64=4x^2\\16=x^2[/tex]

± [tex]x=4[/tex]

Being a dimension, [tex]x[/tex] can not be negative.

So,

[tex]x=4[/tex] cm

Width of a rectangle = 4 cm

Length of a rectangle = 4(4) =16 cm

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.