The rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remaining portion is a yard of trapezoidal shape whose parallel sides have lengths $15 m$ and $25 m$ . What fraction of the yard is occupied by the flower bed?

Open in App

Solution

ABCD is a rectangular yard
AEFB is a trapezium
AB $∥$ EF
AB $=$ $25 m$ and EF $=$ $15 m$
AD $=$ BC $=$ $5 m$
Area of rectangle $=$ $l$ x $b$ $=$ $25$ x $5$ $=$ $125 m^{2}$
Area of each flower bed $=$ $\frac{1}{2}$ xbxh
$=$ $\frac{1}{2}$ x $5$ x $5$ $=$ $\frac{25}{2}$
Area of both flower beds $=$ $2$ x $\frac{25}{2}$ $=$ $25 m^{2}$
Fraction of flower beds to yard $=$ $\frac{25}{125}$ $=$ $\frac{1}{5}$

Suggest Corrections

Similar questions

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

Q. A flower garden at a zoo is planted in the shape of a parallelogram. The base is

25

yards long and the height is

12

yards. What is the area of the garden?

Q. A square shaped park ABCD of side

100 m

has two equal rectangular flower beds each of size

10 m \times 5 m

. Length of the boundary of the remaining park is

Q. Frank the Fence maker needs to fence in a rectangular yard. He fences in three of the four sides of the yard. The unfenced side of the yard is 40 feet long. The yard has an area of 280 square feet. What is the length, in feet, of the fence that Frank installs?

Question 2

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m $\times$ 5 m (see the figure). Length of the boundary of the remaining park is

(a) 360 m

(b) 400 m

(d) 460 m

Join BYJU'S Learning Program

The rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remaining portion is a yard of trapezoidal shape whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

ABCD is a rectangular yardAEFB is a trapeziumAB ∥ EFAB = 25m and EF = 15mAD = BC = 5mArea of rectangle = lx b = 25x5 = 125m2Area of each flower bed = 12xbxh= 12x5x5 = 252Area of both flower beds = 2x252 = 25m2Fraction of flower beds to yard = 25125= 15

The rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remaining portion is a yard of trapezoidal shape whose parallel sides have lengths $15 m$ and $25 m$ . What fraction of the yard is occupied by the flower bed?