Question

Find the area of a trapezoid. With a base of 1 1/2 cm a height of 4 cm and a bottom base with 3 1/2 cm

Answer 1

Answer:

$A=10cm^{2}$

Step-by-step explanation:

The formula to find the area of a trapezoid is,

Area = $\frac{1}{2} *(a +b)*height$

(a+b) ⇒ Sum of the parallel sides

Let us solve now.

$A =\frac{1}{2} *(a +b)*height$

$A=\frac{1}{2} *(1\frac{1}{2} +3\frac{1}{2} )*4$

$A=\frac{1}{2} *(\frac{3}{2} +\frac{7}{2} )*4$

$A=\frac{1}{2} *(\frac{10}{2} )*4$

$A=\frac{1}{2} *(5 )*4$

$A=\frac{1}{2} *20$

$A=10cm^{2}$

Hope this helps you.

Answer 2

Answer:

The area of trapezoid is 10 cm².

Step-by-step explanation:

Given :

• $\green\star$ a = 1½ cm
• $\green\star$ b = 3½ cm
• $\green\star$ h = 4 cm

To Find :

• $\green\star$ Area of trapezoid

Using Formula :

$\star{\small{\underline{\boxed{\sf{\purple{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}}}}$

• $\orange\star$ a + b = sum of parallel side
• $\orange\star$ h = height of trapezoid

Solution :

Finding the area of trapezoid by substituting the values in the formula :

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big(a + b\Big)h}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(1 \dfrac{1}{2} + 3 \dfrac{1}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{(1 \times 2) + 1}{2} + \dfrac{(3 \times 2) + 1}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{2 + 1}{2} + \dfrac{6 + 1}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3}{2} + \dfrac{7}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{3 + 7}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg(\dfrac{10}{2}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\bigg( \cancel{\dfrac{10}{2}}\bigg)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2}\Big( \: 5 \: \Big)4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \times 5 \times 4}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{1}{\cancel{2}} \times 5 \times \cancel{4}}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} =5 \times 2}}}$

${\dashrightarrow{\sf{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}$

$\star{\underline{\boxed{\frak{\red{Area_{(Trapezoid)} =10 \: {cm}^{2}}}}}}$

Hence, the area of trapezoid is 10 cm².

$\rule{300}{1.5}$