Question

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.

Answer 1

Formula for Area of a rectangle :

$\boxed {\boxed {\text {Area of a rectangle = Length x Width}}}$

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

$8 \dfrac{3}{4} = 3 \dfrac{1}{2} \times \text{ width}$

Find width:
$\text{ width} = 8 \dfrac{3}{4} \div 3 \dfrac{1}{2}$

Change to improper fraction:
$\text{ width} = \dfrac{35}{4} \div \dfrac{7}{2}$

Change divide fraction to multiplication fraction:
$\text{ width} = \dfrac{35}{4} \times \dfrac{2}{7}$

Multiply them:
$\text{ width} = \dfrac{5}{2}$

Simplify to mixed number:
$\text{ width} = 2\dfrac{1}{2} \text{ ft}$

$\boxed {\boxed {\text {Answer : Width = } 2\dfrac{1}{2} \text {ft. } }}$