The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.2 ft.24 ft.30 ft.

Question
Answer:
Formula for Area of a rectangle :

[tex]\boxed {\boxed {\text {Area of a rectangle = Length x Width}}}[/tex]

[tex]\text {Given that the area is }8 \dfrac{3}{4}\ \ ft^2 \text { and the length is } 3 \dfrac{1}{2} \ ft,[/tex]

[tex]8 \dfrac{3}{4} = 3 \dfrac{1}{2} \times \text{ width}[/tex]

Find width:
[tex]\text{ width} = 8 \dfrac{3}{4} \div 3 \dfrac{1}{2}[/tex]

Change to improper fraction:
[tex]\text{ width} = \dfrac{35}{4} \div \dfrac{7}{2}[/tex]

Change divide fraction to multiplication fraction:
[tex]\text{ width} = \dfrac{35}{4} \times \dfrac{2}{7}[/tex]

Multiply them:
[tex]\text{ width} = \dfrac{5}{2}[/tex]

Simplify to mixed number:
[tex]\text{ width} = 2\dfrac{1}{2} \text{ ft}[/tex]

[tex]\boxed {\boxed {\text {Answer : Width = } 2\dfrac{1}{2} \text {ft. } }}[/tex]




solved
general 11 months ago 7920