Math

QuestionFind the missing base of a trapezoid with height 3 in, known base 8 in, and area 21 sq in.

Studdy Solution

STEP 1

Assumptions1. The height of the trapezoid is3 inches. The length of the known base is8 inches3. The area of the trapezoid is21 square inches4. The formula for the area of a trapezoid is given by Area=1×(base1+base)×heightArea = \frac{1}{} \times (base1 + base) \times height

STEP 2

We need to find the length of the missing base. Let's denote this as base2base2. We can rearrange the formula for the area of a trapezoid to solve for base2base2.
base2=2×Areaheightbase1base2 = \frac{2 \times Area}{height} - base1

STEP 3

Now, plug in the given values for the area, height, and known base into the formula to find the length of the missing base.
base2=2×21squareinches3inches8inchesbase2 = \frac{2 \times21\, square\, inches}{3\, inches} -8\, inches

STEP 4

First, calculate the division in the equation.
base2=42squareinches3inches8inchesbase2 = \frac{42\, square\, inches}{3\, inches} -8\, inches

STEP 5

Continue with the calculation.
base2=14inches8inchesbase2 =14\, inches -8\, inches

STEP 6

Finally, subtract8 inches from14 inches to find the length of the missing base.
base2=14inches8inches=6inchesbase2 =14\, inches -8\, inches =6\, inchesThe length of the missing base of the trapezoid is6 inches.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord