Question

A trapezoidal lawn has an upper base of 16 meters and a lower base of 30 meters. the distance between the parallel bases is 10 meters. if the lawn planted with bermuda grass, how many square meters will be needed?

Answer 1

The square meters bermuda grass required is 230 m².

Step-by-step explanation:

The upper base of the trapezoidal lawn = 16 m

The lower base of the trapezoidal lawn = 30 m

The distance between the two parallel bases of the lawn = 10 m

We know the formula of a trapezium is given by,

Area = ½ × [sum of parallel sides] × h

Thus, substituting the given values in the formula, we get

The required square meters of the bermuda grass to be planted all over the trapezoidal lawn is,

= Area of trapezoidal lawn

= ½  × [16 + 30] × 10

= ½ × 46 × 10

= ½ × 460

= 230 m²

________________________________________________

Also View:

The parallel sides of a Trapezium are 52 cm and 27 cm and the other two sides are 25 cm and 30 cm find the area of the trapezium?

https://brainly.in/question/6369941

The area of trapezium is 1350cm square and perpendicular distances between parallel sides is 25cm. Find the length of parallel sides if one side is twice the other side.​

https://brainly.in/question/9164461

The parallel sides of a trapezium are in the ratio 6:7 and distance between them is 12.5 cm.find the lengths of sides if area is 6.50 m^2.

https://brainly.in/question/4632685

Answer 2

A quadrilateral with at least one pair of parallel sides is called, in American and Canadian English, a trapezoid. In British and other forms of English, a trapezoid is called a trapezium. The transposition of these two terms was a result of an error in Charles Hutton's mathematical dictionary.

Area = $1 2 \times$ Sum of parallel sides $\times$ Distance between them.

Step-by-step explanation:

The upper base of the trapezoidal lawn$= 16 m$

The lower base of the trapezoidal lawn $= 30 m$

The distance between the two parallel bases of the lawn = 10 m

We know the formula of a trapezium is given by,

Area = ½ × [sum of parallel sides] × h

Thus, substituting the given values in the formula, we get

The required square meters of the bermuda grass to be planted all over the trapezoidal lawn is,

= Area of trapezoidal lawn

$= \frac{1}{2} \times [16 + 30] \times 10$

$=\frac{1}{2}\times 46\times 10$

$= \frac{1}{2} \times 460$

$= 230 m^2$

#SPJ2