QuestionFind the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

Studdy Solution

STEP 1

Assumptions1. The area of the rectangle is $32 \mathrm{~cm}^{}$ . The length of the base (b) is $8 \mathrm{~cm}$
3. The height (h) is what we are trying to find4. The area of a rectangle is calculated by multiplying the base by the height

STEP 2

We can use the formula for the area of a rectangle to find the height. The formula is $Area = Base \times Height$

STEP 3

We can rearrange this formula to solve for the height $Height = \frac{Area}{Base}$

STEP 4

Now, we can substitute the given values for the area and the base into the formula $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}}$

STEP 5

Finally, we perform the division to find the height $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}} =4 \mathrm{~cm}$ So, the height of the rectangle is $4 \mathrm{~cm}$ .

Was this helpful?

QuestionFind the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

Studdy Solution

STEP 1

Assumptions1. The area of the rectangle is $32 \mathrm{~cm}^{}$ . The length of the base (b) is $8 \mathrm{~cm}$
3. The height (h) is what we are trying to find4. The area of a rectangle is calculated by multiplying the base by the height

STEP 2

We can use the formula for the area of a rectangle to find the height. The formula is $Area = Base \times Height$

STEP 3

We can rearrange this formula to solve for the height $Height = \frac{Area}{Base}$

STEP 4

Now, we can substitute the given values for the area and the base into the formula $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}}$

STEP 5

Finally, we perform the division to find the height $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}} =4 \mathrm{~cm}$ So, the height of the rectangle is $4 \mathrm{~cm}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the height of a rectangle with area 32 cm232 \mathrm{~cm}^{2}32 cm2 and base 8 cm8 \mathrm{~cm}8 cm. What is hhh?

Studdy Solution

STEP 1

Assumptions1. The area of the rectangle is 32 cm32 \mathrm{~cm}^{}32 cm . The length of the base (b) is 8 cm8 \mathrm{~cm}8 cm3. The height (h) is what we are trying to find4. The area of a rectangle is calculated by multiplying the base by the height

STEP 2

We can use the formula for the area of a rectangle to find the height. The formula isArea=Base×HeightArea = Base \times HeightArea=Base×Height

STEP 3

We can rearrange this formula to solve for the heightHeight=AreaBaseHeight = \frac{Area}{Base}Height=BaseArea​

STEP 4

Now, we can substitute the given values for the area and the base into the formulaHeight=32 cm28 cmHeight = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}}Height=8 cm32 cm2​

STEP 5

Finally, we perform the division to find the heightHeight=32 cm28 cm=4 cmHeight = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}} =4 \mathrm{~cm}Height=8 cm32 cm2​=4 cmSo, the height of the rectangle is 4 cm4 \mathrm{~cm}4 cm.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

Assumptions1. The area of the rectangle is $32 \mathrm{~cm}^{}$ . The length of the base (b) is $8 \mathrm{~cm}$
3. The height (h) is what we are trying to find4. The area of a rectangle is calculated by multiplying the base by the height

We can use the formula for the area of a rectangle to find the height. The formula is $Area = Base \times Height$

We can rearrange this formula to solve for the height $Height = \frac{Area}{Base}$

Now, we can substitute the given values for the area and the base into the formula $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}}$

Finally, we perform the division to find the height $Height = \frac{32 \mathrm{~cm}^{2}}{8 \mathrm{~cm}} =4 \mathrm{~cm}$ So, the height of the rectangle is $4 \mathrm{~cm}$ .