Question

A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?A)108 in.2B)492 in.2C)420 in.2D)528 in.2

Answer 1

Step-by-step explanation

to find the area of the stove that does not include the area of the burnes ( yellow area), we can subtract the area of the 4 circles from the area of the full rectangle

so

Step 1

`\begin{gathered} \text{Area}=\text{rectangle-}4\text{ circles} \\ Area=(length\cdot width)-4(\pi\text{ }(diameter^2)/(4)) \\ A\text{rea}=(length\cdot width)-(\pi\text{ }\cdot diameter^2) \end{gathered}`

then, Let

for circle:

diameter= 6 in

for rectangle

length= 24 in

width= 22 in

Step 2

replace,